90.672 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying: (/ a (- (acos a))) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: Extracting # 3 : cost 0 0.042 * * [simplify]: Extracting # 4 : cost 0 0.042 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.043 * * [simplify]: Extracting # 0 : cost 0 0.043 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.043 * [simplify]: Simplified to: (/ a (- (acos a))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.077 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.077 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.078 * [taylor]: Taking taylor expansion of -1 in a 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.078 * [taylor]: Taking taylor expansion of a in a 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (acos a) in a 0.078 * [backup-simplify]: Simplify (acos a) into (acos a) 0.078 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.078 * [taylor]: Taking taylor expansion of -1 in a 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.078 * [taylor]: Taking taylor expansion of a in a 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (acos a) in a 0.078 * [backup-simplify]: Simplify (acos a) into (acos a) 0.079 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.079 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.079 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.079 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.080 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.084 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.086 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.093 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.093 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.093 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.093 * [taylor]: Taking taylor expansion of -1 in a 0.093 * [backup-simplify]: Simplify -1 into -1 0.093 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.093 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.093 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.093 * [taylor]: Taking taylor expansion of a in a 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.094 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.094 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.094 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.094 * [taylor]: Taking taylor expansion of -1 in a 0.094 * [backup-simplify]: Simplify -1 into -1 0.094 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.094 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.094 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.094 * [taylor]: Taking taylor expansion of a in a 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.095 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.095 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.095 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.096 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.108 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.108 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.108 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.108 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.108 * [taylor]: Taking taylor expansion of a in a 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.108 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.108 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.109 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.109 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.109 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.109 * [taylor]: Taking taylor expansion of a in a 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.109 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.109 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.110 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.110 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.110 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.126 * * * [progress]: simplifying candidates 0.128 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.131 * * [simplify]: Extracting # 0 : cost 0 0.131 * * [simplify]: Extracting # 1 : cost 0 0.131 * * [simplify]: Extracting # 2 : cost 0 0.131 * * [simplify]: Extracting # 3 : cost 0 0.132 * * [simplify]: Extracting # 4 : cost 0 0.132 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.188 * * [simplify]: Extracting # 0 : cost 0 0.189 * * [simplify]: Extracting # 1 : cost 0 0.189 * * [simplify]: Extracting # 2 : cost 0 0.190 * * [simplify]: Extracting # 3 : cost 0 0.191 * * [simplify]: iteration 1 : 166 enodes (cost 581 ) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.225 * * [simplify]: Extracting # 1 : cost 0 0.225 * * [simplify]: Extracting # 2 : cost 0 0.225 * * [simplify]: Extracting # 3 : cost 0 0.226 * * [simplify]: Extracting # 4 : cost 0 0.226 * * [simplify]: iteration 2 : 333 enodes (cost 563 ) 0.349 * * [simplify]: Extracting # 0 : cost 0 0.351 * * [simplify]: Extracting # 1 : cost 0 0.352 * * [simplify]: Extracting # 2 : cost 0 0.353 * * [simplify]: Extracting # 3 : cost 0 0.354 * * [simplify]: Extracting # 4 : cost 0 0.355 * * [simplify]: iteration 3 : 587 enodes (cost 563 ) 0.661 * * [simplify]: Extracting # 0 : cost 0 0.663 * * [simplify]: Extracting # 1 : cost 0 0.664 * * [simplify]: Extracting # 2 : cost 0 0.665 * * [simplify]: Extracting # 3 : cost 0 0.666 * * [simplify]: Extracting # 4 : cost 0 0.667 * * [simplify]: iteration 4 : 1105 enodes (cost 563 ) 2.063 * * [simplify]: Extracting # 0 : cost 0 2.067 * * [simplify]: Extracting # 1 : cost 0 2.069 * * [simplify]: Extracting # 2 : cost 0 2.076 * * [simplify]: Extracting # 3 : cost 0 2.077 * * [simplify]: Extracting # 4 : cost 0 2.079 * * [simplify]: iteration 5 : 2150 enodes (cost 558 ) 5.003 * * [simplify]: Extracting # 0 : cost 0 5.013 * * [simplify]: Extracting # 1 : cost 0 5.023 * * [simplify]: Extracting # 2 : cost 0 5.035 * * [simplify]: Extracting # 3 : cost 0 5.044 * * [simplify]: Extracting # 4 : cost 0 5.052 * * [simplify]: iteration done: 5001 enodes (cost 558 ) 5.053 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ -1 (cbrt (acos a))) (cbrt (acos a))) (/ a (cbrt (acos a))) (/ -1 (sqrt (acos a))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ -1 (acos a)) (- (/ (acos a) a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (- a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (- a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (- (/ (acos a) a)) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 5.054 * * * [progress]: adding candidates to table 5.210 * * [progress]: iteration 2 / 4 5.210 * * * [progress]: picking best candidate 5.230 * * * * [pick]: Picked # 5.231 * * * [progress]: localizing error 5.237 * * * [progress]: generating rewritten candidates 5.238 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 5.248 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.297 * * * [progress]: generating series expansions 5.297 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 5.297 * [backup-simplify]: Simplify (/ (acos a) a) into (/ (acos a) a) 5.297 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 5.297 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.297 * [taylor]: Taking taylor expansion of (acos a) in a 5.297 * [backup-simplify]: Simplify (acos a) into (acos a) 5.297 * [taylor]: Taking taylor expansion of a in a 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.297 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.297 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.297 * [taylor]: Taking taylor expansion of (acos a) in a 5.298 * [backup-simplify]: Simplify (acos a) into (acos a) 5.298 * [taylor]: Taking taylor expansion of a in a 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify 1 into 1 5.298 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.298 * [backup-simplify]: Simplify (acos a) into (acos a) 5.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 5.300 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.302 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.308 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.311 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.315 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 5.316 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (/ 1 a)) into (* (acos (/ 1 a)) a) 5.316 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 5.316 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.316 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.316 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.316 * [taylor]: Taking taylor expansion of a in a 5.316 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify 1 into 1 5.316 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.316 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.316 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.316 * [taylor]: Taking taylor expansion of a in a 5.316 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify 1 into 1 5.316 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.316 * [backup-simplify]: Simplify 0 into 0 5.317 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.317 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.318 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.320 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.321 * [backup-simplify]: Simplify 0 into 0 5.322 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.325 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.327 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 5.327 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (acos (/ -1 a)))) 5.327 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 5.327 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 5.327 * [taylor]: Taking taylor expansion of -1 in a 5.327 * [backup-simplify]: Simplify -1 into -1 5.327 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.327 * [taylor]: Taking taylor expansion of a in a 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 1 into 1 5.328 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.328 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.328 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 5.328 * [taylor]: Taking taylor expansion of -1 in a 5.328 * [backup-simplify]: Simplify -1 into -1 5.328 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.328 * [taylor]: Taking taylor expansion of a in a 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 1 into 1 5.328 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.328 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.329 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.329 * [backup-simplify]: Simplify (* -1 0) into 0 5.329 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.331 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 5.331 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 5.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.332 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 5.332 * [backup-simplify]: Simplify 0 into 0 5.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.334 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 5.334 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.336 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 5.336 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.339 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 5.339 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.342 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 5.342 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.346 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 5.346 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.346 * [backup-simplify]: Simplify (/ 1 (- (/ (acos a) a))) into (* -1 (/ a (acos a))) 5.346 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.346 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.346 * [taylor]: Taking taylor expansion of -1 in a 5.346 * [backup-simplify]: Simplify -1 into -1 5.346 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.346 * [taylor]: Taking taylor expansion of a in a 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.346 * [taylor]: Taking taylor expansion of (acos a) in a 5.346 * [backup-simplify]: Simplify (acos a) into (acos a) 5.346 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.346 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.346 * [taylor]: Taking taylor expansion of -1 in a 5.346 * [backup-simplify]: Simplify -1 into -1 5.347 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.347 * [taylor]: Taking taylor expansion of a in a 5.347 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify 1 into 1 5.347 * [taylor]: Taking taylor expansion of (acos a) in a 5.347 * [backup-simplify]: Simplify (acos a) into (acos a) 5.347 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.347 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.347 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.347 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.347 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.347 * [backup-simplify]: Simplify 0 into 0 5.348 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.348 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.350 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.357 * [backup-simplify]: Simplify 0 into 0 5.357 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.359 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.362 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.362 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 5.362 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.362 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.363 * [taylor]: Taking taylor expansion of -1 in a 5.363 * [backup-simplify]: Simplify -1 into -1 5.363 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.363 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.363 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.363 * [taylor]: Taking taylor expansion of a in a 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 1 into 1 5.363 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.364 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.364 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.364 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.364 * [taylor]: Taking taylor expansion of -1 in a 5.364 * [backup-simplify]: Simplify -1 into -1 5.364 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.364 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.364 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.364 * [taylor]: Taking taylor expansion of a in a 5.364 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify 1 into 1 5.364 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.365 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.365 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.365 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.366 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.367 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.367 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.368 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.368 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.370 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.370 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.372 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.372 * [backup-simplify]: Simplify 0 into 0 5.374 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.375 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.375 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.378 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.378 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 5.378 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.378 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.378 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.378 * [taylor]: Taking taylor expansion of a in a 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.379 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.379 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.380 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.380 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.380 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.380 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.380 * [taylor]: Taking taylor expansion of a in a 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 1 into 1 5.380 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.380 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.380 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.381 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.381 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.382 * [backup-simplify]: Simplify 0 into 0 5.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.383 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.386 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.388 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.390 * * * [progress]: simplifying candidates 5.393 * [simplify]: Simplifying: (expm1 (/ (acos a) 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(/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ 1 (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ 1 (- (/ (sqrt (acos a)) (sqrt a)))) (/ 1 (- (/ (sqrt (acos a)) 1))) (/ 1 (- (/ 1 (* (cbrt a) (cbrt a))))) (/ 1 (- (/ 1 (sqrt a)))) (/ 1 (- (/ 1 1))) (/ 1 (- 1)) (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (acos a)) (/ (- (/ (acos a) a)) (cbrt 1)) (/ (- (/ (acos a) a)) (sqrt 1)) (/ (- (/ (acos a) a)) 1) (/ 1 (- (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 5.398 * * [simplify]: Extracting # 0 : cost 0 5.398 * * [simplify]: Extracting # 1 : cost 0 5.399 * * [simplify]: Extracting # 2 : cost 0 5.399 * * [simplify]: Extracting # 3 : cost 0 5.399 * * [simplify]: Extracting # 4 : cost 0 5.400 * * [simplify]: Extracting # 5 : cost 0 5.400 * * [simplify]: Extracting # 6 : cost 0 5.401 * * [simplify]: iteration 0 : 265 enodes (cost 2409 ) 5.539 * * [simplify]: Extracting # 0 : cost 0 5.540 * * [simplify]: Extracting # 1 : cost 0 5.541 * * [simplify]: Extracting # 2 : cost 0 5.541 * * [simplify]: iteration 1 : 472 enodes (cost 2004 ) 5.645 * * [simplify]: Extracting # 0 : cost 0 5.650 * * [simplify]: Extracting # 1 : cost 0 5.651 * * [simplify]: Extracting # 2 : cost 0 5.652 * * [simplify]: Extracting # 3 : cost 0 5.653 * * [simplify]: iteration 2 : 782 enodes (cost 1861 ) 6.006 * * [simplify]: Extracting # 0 : cost 0 6.008 * * [simplify]: Extracting # 1 : cost 0 6.009 * * [simplify]: Extracting # 2 : cost 0 6.011 * * [simplify]: Extracting # 3 : cost 0 6.012 * * [simplify]: Extracting # 4 : cost 0 6.013 * * [simplify]: iteration 3 : 1534 enodes (cost 1711 ) 7.832 * * [simplify]: Extracting # 0 : cost 0 7.838 * * [simplify]: Extracting # 1 : cost 0 7.841 * * [simplify]: Extracting # 2 : cost 0 7.843 * * [simplify]: Extracting # 3 : cost 0 7.845 * * [simplify]: Extracting # 4 : cost 0 7.848 * * [simplify]: iteration 4 : 2784 enodes (cost 1711 ) 11.779 * * [simplify]: Extracting # 0 : cost 0 11.789 * * [simplify]: Extracting # 1 : cost 0 11.796 * * [simplify]: Extracting # 2 : cost 0 11.803 * * [simplify]: Extracting # 3 : cost 0 11.810 * * [simplify]: Extracting # 4 : cost 0 11.827 * * [simplify]: iteration done: 5000 enodes (cost 1711 ) 11.829 * [simplify]: Simplified to: (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ 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(acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (- (/ a (acos a))) (- (/ (acos a) a)) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 -1 (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 -1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 11.832 * * * [progress]: adding candidates to table 12.162 * * [progress]: iteration 3 / 4 12.162 * * * [progress]: picking best candidate 12.202 * * * * [pick]: Picked # 12.202 * * * [progress]: localizing error 12.220 * * * [progress]: generating rewritten candidates 12.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 12.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 12.503 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 12.512 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.789 * * * [progress]: generating series expansions 12.789 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 12.790 * [backup-simplify]: Simplify (/ (/ PI 2) a) into (* 1/2 (/ PI a)) 12.790 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 12.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.790 * [taylor]: Taking taylor expansion of 1/2 in a 12.790 * [backup-simplify]: Simplify 1/2 into 1/2 12.790 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.790 * [taylor]: Taking taylor expansion of PI in a 12.790 * [backup-simplify]: Simplify PI into PI 12.790 * [taylor]: Taking taylor expansion of a in a 12.790 * [backup-simplify]: Simplify 0 into 0 12.790 * [backup-simplify]: Simplify 1 into 1 12.790 * [backup-simplify]: Simplify (/ PI 1) into PI 12.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.791 * [taylor]: Taking taylor expansion of 1/2 in a 12.791 * [backup-simplify]: Simplify 1/2 into 1/2 12.791 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.791 * [taylor]: Taking taylor expansion of PI in a 12.791 * [backup-simplify]: Simplify PI into PI 12.791 * [taylor]: Taking taylor expansion of a in a 12.791 * [backup-simplify]: Simplify 0 into 0 12.791 * [backup-simplify]: Simplify 1 into 1 12.791 * [backup-simplify]: Simplify (/ PI 1) into PI 12.792 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.792 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 12.793 * [backup-simplify]: Simplify 0 into 0 12.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 12.795 * [backup-simplify]: Simplify 0 into 0 12.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.796 * [backup-simplify]: Simplify 0 into 0 12.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.798 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.800 * [backup-simplify]: Simplify 0 into 0 12.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.802 * [backup-simplify]: Simplify 0 into 0 12.802 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 12.803 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 a)) into (* 1/2 (* a PI)) 12.803 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 12.803 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.803 * [taylor]: Taking taylor expansion of 1/2 in a 12.803 * [backup-simplify]: Simplify 1/2 into 1/2 12.803 * [taylor]: Taking taylor expansion of (* a PI) in a 12.803 * [taylor]: Taking taylor expansion of a in a 12.803 * [backup-simplify]: Simplify 0 into 0 12.803 * [backup-simplify]: Simplify 1 into 1 12.803 * [taylor]: Taking taylor expansion of PI in a 12.803 * [backup-simplify]: Simplify PI into PI 12.803 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.803 * [taylor]: Taking taylor expansion of 1/2 in a 12.803 * [backup-simplify]: Simplify 1/2 into 1/2 12.803 * [taylor]: Taking taylor expansion of (* a PI) in a 12.803 * [taylor]: Taking taylor expansion of a in a 12.803 * [backup-simplify]: Simplify 0 into 0 12.803 * [backup-simplify]: Simplify 1 into 1 12.803 * [taylor]: Taking taylor expansion of PI in a 12.803 * [backup-simplify]: Simplify PI into PI 12.804 * [backup-simplify]: Simplify (* 0 PI) into 0 12.804 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.804 * [backup-simplify]: Simplify 0 into 0 12.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.806 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.807 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.808 * [backup-simplify]: Simplify 0 into 0 12.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.810 * [backup-simplify]: Simplify 0 into 0 12.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.812 * [backup-simplify]: Simplify 0 into 0 12.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.814 * [backup-simplify]: Simplify 0 into 0 12.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.816 * [backup-simplify]: Simplify 0 into 0 12.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.819 * [backup-simplify]: Simplify 0 into 0 12.819 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 12.820 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- a))) into (* -1/2 (* a PI)) 12.820 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 12.820 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 12.820 * [taylor]: Taking taylor expansion of -1/2 in a 12.820 * [backup-simplify]: Simplify -1/2 into -1/2 12.820 * [taylor]: Taking taylor expansion of (* a PI) in a 12.820 * [taylor]: Taking taylor expansion of a in a 12.820 * [backup-simplify]: Simplify 0 into 0 12.820 * [backup-simplify]: Simplify 1 into 1 12.820 * [taylor]: Taking taylor expansion of PI in a 12.820 * [backup-simplify]: Simplify PI into PI 12.820 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 12.820 * [taylor]: Taking taylor expansion of -1/2 in a 12.821 * [backup-simplify]: Simplify -1/2 into -1/2 12.821 * [taylor]: Taking taylor expansion of (* a PI) in a 12.821 * [taylor]: Taking taylor expansion of a in a 12.821 * [backup-simplify]: Simplify 0 into 0 12.821 * [backup-simplify]: Simplify 1 into 1 12.821 * [taylor]: Taking taylor expansion of PI in a 12.821 * [backup-simplify]: Simplify PI into PI 12.821 * [backup-simplify]: Simplify (* 0 PI) into 0 12.822 * [backup-simplify]: Simplify (* -1/2 0) into 0 12.822 * [backup-simplify]: Simplify 0 into 0 12.824 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.825 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 12.827 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.829 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.829 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.831 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.832 * [backup-simplify]: Simplify 0 into 0 12.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.833 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.833 * [backup-simplify]: Simplify 0 into 0 12.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.835 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.835 * [backup-simplify]: Simplify 0 into 0 12.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.837 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.837 * [backup-simplify]: Simplify 0 into 0 12.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.840 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.840 * [backup-simplify]: Simplify 0 into 0 12.840 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 12.841 * * * * [progress]: [ 2 / 4 ] generating series at (2) 12.841 * [backup-simplify]: Simplify (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a)))) into (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) 12.841 * [approximate]: Taking taylor expansion of (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) in (a) around 0 12.841 * [taylor]: Taking taylor expansion of (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) in a 12.841 * [taylor]: Taking taylor expansion of (- (/ (asin a) a) (* 1/2 (/ PI a))) in a 12.841 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 12.841 * [taylor]: Taking taylor expansion of (asin a) in a 12.841 * [backup-simplify]: Simplify (asin a) into (asin a) 12.841 * [taylor]: Taking taylor expansion of a in a 12.841 * [backup-simplify]: Simplify 0 into 0 12.841 * [backup-simplify]: Simplify 1 into 1 12.841 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 12.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.841 * [taylor]: Taking taylor expansion of 1/2 in a 12.841 * [backup-simplify]: Simplify 1/2 into 1/2 12.841 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.841 * [taylor]: Taking taylor expansion of PI in a 12.841 * [backup-simplify]: Simplify PI into PI 12.841 * [taylor]: Taking taylor expansion of a in a 12.841 * [backup-simplify]: Simplify 0 into 0 12.841 * [backup-simplify]: Simplify 1 into 1 12.842 * [backup-simplify]: Simplify (/ PI 1) into PI 12.842 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.843 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.844 * [backup-simplify]: Simplify (+ (asin a) (- (* 1/2 PI))) into (- (asin a) (* 1/2 PI)) 12.844 * [backup-simplify]: Simplify (/ 1 (- (asin a) (* 1/2 PI))) into (/ 1 (- (asin a) (* 1/2 PI))) 12.844 * [taylor]: Taking taylor expansion of (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) in a 12.844 * [taylor]: Taking taylor expansion of (- (/ (asin a) a) (* 1/2 (/ PI a))) in a 12.844 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 12.844 * [taylor]: Taking taylor expansion of (asin a) in a 12.844 * [backup-simplify]: Simplify (asin a) into (asin a) 12.844 * [taylor]: Taking taylor expansion of a in a 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify 1 into 1 12.844 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 12.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.844 * [taylor]: Taking taylor expansion of 1/2 in a 12.844 * [backup-simplify]: Simplify 1/2 into 1/2 12.844 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.844 * [taylor]: Taking taylor expansion of PI in a 12.844 * [backup-simplify]: Simplify PI into PI 12.844 * [taylor]: Taking taylor expansion of a in a 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify 1 into 1 12.845 * [backup-simplify]: Simplify (/ PI 1) into PI 12.845 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.846 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.846 * [backup-simplify]: Simplify (+ (asin a) (- (* 1/2 PI))) into (- (asin a) (* 1/2 PI)) 12.847 * [backup-simplify]: Simplify (/ 1 (- (asin a) (* 1/2 PI))) into (/ 1 (- (asin a) (* 1/2 PI))) 12.847 * [backup-simplify]: Simplify (/ 1 (- (asin a) (* 1/2 PI))) into (/ 1 (- (asin a) (* 1/2 PI))) 12.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)))) into 0 12.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 12.849 * [backup-simplify]: Simplify (- 0) into 0 12.849 * [backup-simplify]: Simplify (+ 0 0) into 0 12.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.850 * [backup-simplify]: Simplify 0 into 0 12.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 12.853 * [backup-simplify]: Simplify (- 0) into 0 12.853 * [backup-simplify]: Simplify (+ 0 0) into 0 12.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.854 * [backup-simplify]: Simplify 0 into 0 12.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.857 * [backup-simplify]: Simplify (- 0) into 0 12.858 * [backup-simplify]: Simplify (+ 0 0) into 0 12.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.859 * [backup-simplify]: Simplify 0 into 0 12.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.863 * [backup-simplify]: Simplify (- 0) into 0 12.863 * [backup-simplify]: Simplify (+ 0 0) into 0 12.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.866 * [backup-simplify]: Simplify 0 into 0 12.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.874 * [backup-simplify]: Simplify (- 0) into 0 12.874 * [backup-simplify]: Simplify (+ 0 0) into 0 12.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.878 * [backup-simplify]: Simplify 0 into 0 12.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.884 * [backup-simplify]: Simplify (- 0) into 0 12.885 * [backup-simplify]: Simplify (+ 0 0) into 0 12.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.888 * [backup-simplify]: Simplify 0 into 0 12.888 * [backup-simplify]: Simplify (* (/ 1 (- (asin a) (* 1/2 PI))) a) into (/ a (- (asin a) (* 1/2 PI))) 12.889 * [backup-simplify]: Simplify (/ 1 (- (- (/ (/ PI 2) (/ 1 a)) (/ (asin (/ 1 a)) (/ 1 a))))) into (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) 12.889 * [approximate]: Taking taylor expansion of (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) in (a) around 0 12.889 * [taylor]: Taking taylor expansion of (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) in a 12.889 * [taylor]: Taking taylor expansion of (- (* a (asin (/ 1 a))) (* 1/2 (* a PI))) in a 12.889 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 12.889 * [taylor]: Taking taylor expansion of a in a 12.889 * [backup-simplify]: Simplify 0 into 0 12.889 * [backup-simplify]: Simplify 1 into 1 12.889 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 12.889 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 12.889 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.889 * [taylor]: Taking taylor expansion of 1/2 in a 12.889 * [backup-simplify]: Simplify 1/2 into 1/2 12.889 * [taylor]: Taking taylor expansion of (* a PI) in a 12.889 * [taylor]: Taking taylor expansion of a in a 12.889 * [backup-simplify]: Simplify 0 into 0 12.889 * [backup-simplify]: Simplify 1 into 1 12.889 * [taylor]: Taking taylor expansion of PI in a 12.889 * [backup-simplify]: Simplify PI into PI 12.890 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 12.890 * [backup-simplify]: Simplify (* 0 PI) into 0 12.890 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.891 * [backup-simplify]: Simplify (- 0) into 0 12.891 * [backup-simplify]: Simplify (+ 0 0) into 0 12.891 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 12.893 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.894 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.895 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.896 * [backup-simplify]: Simplify (+ (asin (/ 1 a)) (- (* 1/2 PI))) into (- (asin (/ 1 a)) (* 1/2 PI)) 12.896 * [backup-simplify]: Simplify (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) into (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) 12.896 * [taylor]: Taking taylor expansion of (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) in a 12.896 * [taylor]: Taking taylor expansion of (- (* a (asin (/ 1 a))) (* 1/2 (* a PI))) in a 12.896 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 12.896 * [taylor]: Taking taylor expansion of a in a 12.896 * [backup-simplify]: Simplify 0 into 0 12.897 * [backup-simplify]: Simplify 1 into 1 12.897 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 12.897 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 12.897 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.897 * [taylor]: Taking taylor expansion of 1/2 in a 12.897 * [backup-simplify]: Simplify 1/2 into 1/2 12.897 * [taylor]: Taking taylor expansion of (* a PI) in a 12.897 * [taylor]: Taking taylor expansion of a in a 12.897 * [backup-simplify]: Simplify 0 into 0 12.897 * [backup-simplify]: Simplify 1 into 1 12.897 * [taylor]: Taking taylor expansion of PI in a 12.897 * [backup-simplify]: Simplify PI into PI 12.897 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 12.897 * [backup-simplify]: Simplify (* 0 PI) into 0 12.897 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.898 * [backup-simplify]: Simplify (- 0) into 0 12.898 * [backup-simplify]: Simplify (+ 0 0) into 0 12.898 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 12.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.905 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.905 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.907 * [backup-simplify]: Simplify (+ (asin (/ 1 a)) (- (* 1/2 PI))) into (- (asin (/ 1 a)) (* 1/2 PI)) 12.907 * [backup-simplify]: Simplify (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) into (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) 12.908 * [backup-simplify]: Simplify (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) into (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) 12.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ 1 a))))) into 0 12.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.910 * [backup-simplify]: Simplify (- 0) into 0 12.910 * [backup-simplify]: Simplify (+ 0 0) into 0 12.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.911 * [backup-simplify]: Simplify 0 into 0 12.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))) into 0 12.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.914 * [backup-simplify]: Simplify (- 0) into 0 12.914 * [backup-simplify]: Simplify (+ 0 0) into 0 12.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.915 * [backup-simplify]: Simplify 0 into 0 12.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))) into 0 12.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.918 * [backup-simplify]: Simplify (- 0) into 0 12.918 * [backup-simplify]: Simplify (+ 0 0) into 0 12.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.920 * [backup-simplify]: Simplify 0 into 0 12.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))) into 0 12.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.924 * [backup-simplify]: Simplify (- 0) into 0 12.924 * [backup-simplify]: Simplify (+ 0 0) into 0 12.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.926 * [backup-simplify]: Simplify 0 into 0 12.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))))) into 0 12.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.930 * [backup-simplify]: Simplify (- 0) into 0 12.930 * [backup-simplify]: Simplify (+ 0 0) into 0 12.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.934 * [backup-simplify]: Simplify 0 into 0 12.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))))) into 0 12.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.941 * [backup-simplify]: Simplify (- 0) into 0 12.942 * [backup-simplify]: Simplify (+ 0 0) into 0 12.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.946 * [backup-simplify]: Simplify 0 into 0 12.947 * [backup-simplify]: Simplify (* (/ 1 (- (asin (/ 1 (/ 1 a))) (* 1/2 PI))) (/ 1 (/ 1 a))) into (/ a (- (asin a) (* 1/2 PI))) 12.948 * [backup-simplify]: Simplify (/ 1 (- (- (/ (/ PI 2) (/ 1 (- a))) (/ (asin (/ 1 (- a))) (/ 1 (- a)))))) into (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) 12.948 * [approximate]: Taking taylor expansion of (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) in (a) around 0 12.948 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) in a 12.948 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ -1 a)))) in a 12.948 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.948 * [taylor]: Taking taylor expansion of 1/2 in a 12.948 * [backup-simplify]: Simplify 1/2 into 1/2 12.948 * [taylor]: Taking taylor expansion of (* a PI) in a 12.948 * [taylor]: Taking taylor expansion of a in a 12.948 * [backup-simplify]: Simplify 0 into 0 12.948 * [backup-simplify]: Simplify 1 into 1 12.948 * [taylor]: Taking taylor expansion of PI in a 12.948 * [backup-simplify]: Simplify PI into PI 12.948 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 12.948 * [taylor]: Taking taylor expansion of a in a 12.948 * [backup-simplify]: Simplify 0 into 0 12.948 * [backup-simplify]: Simplify 1 into 1 12.948 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 12.948 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 12.949 * [backup-simplify]: Simplify (* 0 PI) into 0 12.950 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.950 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 12.950 * [backup-simplify]: Simplify (- 0) into 0 12.950 * [backup-simplify]: Simplify (+ 0 0) into 0 12.952 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.954 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.954 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 12.955 * [backup-simplify]: Simplify (- (asin (/ -1 a))) into (- (asin (/ -1 a))) 12.955 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (/ -1 a)))) into (- (* 1/2 PI) (asin (/ -1 a))) 12.956 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) into (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) 12.956 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) in a 12.956 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ -1 a)))) in a 12.956 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.956 * [taylor]: Taking taylor expansion of 1/2 in a 12.956 * [backup-simplify]: Simplify 1/2 into 1/2 12.956 * [taylor]: Taking taylor expansion of (* a PI) in a 12.956 * [taylor]: Taking taylor expansion of a in a 12.956 * [backup-simplify]: Simplify 0 into 0 12.956 * [backup-simplify]: Simplify 1 into 1 12.957 * [taylor]: Taking taylor expansion of PI in a 12.957 * [backup-simplify]: Simplify PI into PI 12.957 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 12.957 * [taylor]: Taking taylor expansion of a in a 12.957 * [backup-simplify]: Simplify 0 into 0 12.957 * [backup-simplify]: Simplify 1 into 1 12.957 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 12.957 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 12.957 * [backup-simplify]: Simplify (* 0 PI) into 0 12.958 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.958 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 12.958 * [backup-simplify]: Simplify (- 0) into 0 12.959 * [backup-simplify]: Simplify (+ 0 0) into 0 12.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.962 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.963 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 12.963 * [backup-simplify]: Simplify (- (asin (/ -1 a))) into (- (asin (/ -1 a))) 12.963 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (/ -1 a)))) into (- (* 1/2 PI) (asin (/ -1 a))) 12.964 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) into (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) 12.965 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) into (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) 12.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ -1 a))))) into 0 12.968 * [backup-simplify]: Simplify (- 0) into 0 12.969 * [backup-simplify]: Simplify (+ 0 0) into 0 12.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.970 * [backup-simplify]: Simplify 0 into 0 12.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))) into 0 12.974 * [backup-simplify]: Simplify (- 0) into 0 12.975 * [backup-simplify]: Simplify (+ 0 0) into 0 12.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.977 * [backup-simplify]: Simplify 0 into 0 12.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))) into 0 12.982 * [backup-simplify]: Simplify (- 0) into 0 12.983 * [backup-simplify]: Simplify (+ 0 0) into 0 12.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.986 * [backup-simplify]: Simplify 0 into 0 12.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))) into 0 12.992 * [backup-simplify]: Simplify (- 0) into 0 12.993 * [backup-simplify]: Simplify (+ 0 0) into 0 12.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.996 * [backup-simplify]: Simplify 0 into 0 12.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 13.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))))) into 0 13.003 * [backup-simplify]: Simplify (- 0) into 0 13.004 * [backup-simplify]: Simplify (+ 0 0) into 0 13.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 13.008 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 13.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 13.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))))) into 0 13.016 * [backup-simplify]: Simplify (- 0) into 0 13.016 * [backup-simplify]: Simplify (+ 0 0) into 0 13.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify (* (/ 1 (- (* 1/2 PI) (asin (/ -1 (/ 1 (- a)))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (- (* 1/2 PI) (asin a)))) 13.022 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 13.022 * [backup-simplify]: Simplify (/ (asin a) a) into (/ (asin a) a) 13.022 * [approximate]: Taking taylor expansion of (/ (asin a) a) in (a) around 0 13.022 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 13.022 * [taylor]: Taking taylor expansion of (asin a) in a 13.022 * [backup-simplify]: Simplify (asin a) into (asin a) 13.022 * [taylor]: Taking taylor expansion of a in a 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 13.022 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 13.022 * [taylor]: Taking taylor expansion of (asin a) in a 13.022 * [backup-simplify]: Simplify (asin a) into (asin a) 13.022 * [taylor]: Taking taylor expansion of a in a 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 13.022 * [backup-simplify]: Simplify (asin a) into (asin a) 13.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)))) into 0 13.024 * [backup-simplify]: Simplify 0 into 0 13.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.025 * [backup-simplify]: Simplify 0 into 0 13.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.027 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.030 * [backup-simplify]: Simplify 0 into 0 13.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.033 * [backup-simplify]: Simplify 0 into 0 13.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.036 * [backup-simplify]: Simplify 0 into 0 13.037 * [backup-simplify]: Simplify (* (asin a) (/ 1 a)) into (/ (asin a) a) 13.037 * [backup-simplify]: Simplify (/ (asin (/ 1 a)) (/ 1 a)) into (* a (asin (/ 1 a))) 13.037 * [approximate]: Taking taylor expansion of (* a (asin (/ 1 a))) in (a) around 0 13.037 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 13.037 * [taylor]: Taking taylor expansion of a in a 13.037 * [backup-simplify]: Simplify 0 into 0 13.037 * [backup-simplify]: Simplify 1 into 1 13.037 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 13.037 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 13.037 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 13.037 * [taylor]: Taking taylor expansion of a in a 13.037 * [backup-simplify]: Simplify 0 into 0 13.037 * [backup-simplify]: Simplify 1 into 1 13.037 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 13.037 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 13.038 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 13.038 * [backup-simplify]: Simplify 0 into 0 13.038 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 13.038 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 13.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ 1 a))))) into 0 13.040 * [backup-simplify]: Simplify 0 into 0 13.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))) into 0 13.041 * [backup-simplify]: Simplify 0 into 0 13.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))) into 0 13.043 * [backup-simplify]: Simplify 0 into 0 13.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))) into 0 13.050 * [backup-simplify]: Simplify 0 into 0 13.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))))) into 0 13.053 * [backup-simplify]: Simplify 0 into 0 13.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))))) into 0 13.056 * [backup-simplify]: Simplify 0 into 0 13.056 * [backup-simplify]: Simplify (* (asin (/ 1 (/ 1 a))) (/ 1 a)) into (/ (asin a) a) 13.056 * [backup-simplify]: Simplify (/ (asin (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (asin (/ -1 a)))) 13.056 * [approximate]: Taking taylor expansion of (* -1 (* a (asin (/ -1 a)))) in (a) around 0 13.056 * [taylor]: Taking taylor expansion of (* -1 (* a (asin (/ -1 a)))) in a 13.056 * [taylor]: Taking taylor expansion of -1 in a 13.056 * [backup-simplify]: Simplify -1 into -1 13.056 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 13.056 * [taylor]: Taking taylor expansion of a in a 13.056 * [backup-simplify]: Simplify 0 into 0 13.056 * [backup-simplify]: Simplify 1 into 1 13.056 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 13.057 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 13.057 * [taylor]: Taking taylor expansion of (* -1 (* a (asin (/ -1 a)))) in a 13.057 * [taylor]: Taking taylor expansion of -1 in a 13.057 * [backup-simplify]: Simplify -1 into -1 13.057 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 13.057 * [taylor]: Taking taylor expansion of a in a 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 1 into 1 13.057 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 13.057 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 13.057 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 13.058 * [backup-simplify]: Simplify (* -1 0) into 0 13.058 * [backup-simplify]: Simplify 0 into 0 13.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 13.059 * [backup-simplify]: Simplify (+ (* -1 (asin (/ -1 a))) (* 0 0)) into (- (asin (/ -1 a))) 13.059 * [backup-simplify]: Simplify (- (asin (/ -1 a))) into (- (asin (/ -1 a))) 13.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ -1 a))))) into 0 13.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (asin (/ -1 a))) (* 0 0))) into 0 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))) into 0 13.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0)))) into 0 13.062 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))) into 0 13.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0))))) into 0 13.065 * [backup-simplify]: Simplify 0 into 0 13.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))) into 0 13.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0)))))) into 0 13.067 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))))) into 0 13.071 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0))))))) into 0 13.071 * [backup-simplify]: Simplify 0 into 0 13.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))))) into 0 13.074 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0)))))))) into 0 13.074 * [backup-simplify]: Simplify 0 into 0 13.075 * [backup-simplify]: Simplify (* (- (asin (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (asin a) a) 13.075 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.075 * [backup-simplify]: Simplify (- (/ (/ PI 2) a) (/ (asin a) a)) into (- (* 1/2 (/ PI a)) (/ (asin a) a)) 13.075 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (/ (asin a) a)) in (a) around 0 13.076 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (/ (asin a) a)) in a 13.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 13.076 * [taylor]: Taking taylor expansion of 1/2 in a 13.076 * [backup-simplify]: Simplify 1/2 into 1/2 13.076 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.076 * [taylor]: Taking taylor expansion of PI in a 13.076 * [backup-simplify]: Simplify PI into PI 13.076 * [taylor]: Taking taylor expansion of a in a 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 1 into 1 13.076 * [backup-simplify]: Simplify (/ PI 1) into PI 13.076 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 13.076 * [taylor]: Taking taylor expansion of (asin a) in a 13.076 * [backup-simplify]: Simplify (asin a) into (asin a) 13.076 * [taylor]: Taking taylor expansion of a in a 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 1 into 1 13.076 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 13.076 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (/ (asin a) a)) in a 13.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 13.076 * [taylor]: Taking taylor expansion of 1/2 in a 13.076 * [backup-simplify]: Simplify 1/2 into 1/2 13.076 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.076 * [taylor]: Taking taylor expansion of PI in a 13.077 * [backup-simplify]: Simplify PI into PI 13.077 * [taylor]: Taking taylor expansion of a in a 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [backup-simplify]: Simplify (/ PI 1) into PI 13.077 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 13.077 * [taylor]: Taking taylor expansion of (asin a) in a 13.077 * [backup-simplify]: Simplify (asin a) into (asin a) 13.077 * [taylor]: Taking taylor expansion of a in a 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 13.078 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 13.078 * [backup-simplify]: Simplify (- (asin a)) into (- (asin a)) 13.078 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin a))) into (- (* 1/2 PI) (asin a)) 13.079 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin a)) into (- (* 1/2 PI) (asin a)) 13.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 13.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)))) into 0 13.081 * [backup-simplify]: Simplify (- 0) into 0 13.081 * [backup-simplify]: Simplify (+ 0 0) into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 13.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.084 * [backup-simplify]: Simplify (- 0) into 0 13.085 * [backup-simplify]: Simplify (+ 0 0) into 0 13.085 * [backup-simplify]: Simplify 0 into 0 13.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.088 * [backup-simplify]: Simplify (- 0) into 0 13.089 * [backup-simplify]: Simplify (+ 0 0) into 0 13.089 * [backup-simplify]: Simplify 0 into 0 13.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.093 * [backup-simplify]: Simplify (- 0) into 0 13.093 * [backup-simplify]: Simplify (+ 0 0) into 0 13.093 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.098 * [backup-simplify]: Simplify (- 0) into 0 13.098 * [backup-simplify]: Simplify (+ 0 0) into 0 13.098 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.103 * [backup-simplify]: Simplify (- 0) into 0 13.103 * [backup-simplify]: Simplify (+ 0 0) into 0 13.103 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin a)) (/ 1 a)) into (/ (- (* 1/2 PI) (asin a)) a) 13.104 * [backup-simplify]: Simplify (- (/ (/ PI 2) (/ 1 a)) (/ (asin (/ 1 a)) (/ 1 a))) into (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) 13.104 * [approximate]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) in (a) around 0 13.104 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) in a 13.105 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 13.105 * [taylor]: Taking taylor expansion of 1/2 in a 13.105 * [backup-simplify]: Simplify 1/2 into 1/2 13.105 * [taylor]: Taking taylor expansion of (* a PI) in a 13.105 * [taylor]: Taking taylor expansion of a in a 13.105 * [backup-simplify]: Simplify 0 into 0 13.105 * [backup-simplify]: Simplify 1 into 1 13.105 * [taylor]: Taking taylor expansion of PI in a 13.105 * [backup-simplify]: Simplify PI into PI 13.105 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 13.105 * [taylor]: Taking taylor expansion of a in a 13.105 * [backup-simplify]: Simplify 0 into 0 13.105 * [backup-simplify]: Simplify 1 into 1 13.105 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 13.105 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 13.105 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) in a 13.105 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 13.105 * [taylor]: Taking taylor expansion of 1/2 in a 13.105 * [backup-simplify]: Simplify 1/2 into 1/2 13.105 * [taylor]: Taking taylor expansion of (* a PI) in a 13.105 * [taylor]: Taking taylor expansion of a in a 13.105 * [backup-simplify]: Simplify 0 into 0 13.105 * [backup-simplify]: Simplify 1 into 1 13.105 * [taylor]: Taking taylor expansion of PI in a 13.105 * [backup-simplify]: Simplify PI into PI 13.105 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 13.105 * [taylor]: Taking taylor expansion of a in a 13.105 * [backup-simplify]: Simplify 0 into 0 13.105 * [backup-simplify]: Simplify 1 into 1 13.105 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 13.105 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 13.106 * [backup-simplify]: Simplify (* 0 PI) into 0 13.106 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.106 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 13.106 * [backup-simplify]: Simplify (- 0) into 0 13.106 * [backup-simplify]: Simplify (+ 0 0) into 0 13.106 * [backup-simplify]: Simplify 0 into 0 13.108 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.109 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 13.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 13.109 * [backup-simplify]: Simplify (- (asin (/ 1 a))) into (- (asin (/ 1 a))) 13.110 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (/ 1 a)))) into (- (* 1/2 PI) (asin (/ 1 a))) 13.110 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (/ 1 a))) into (- (* 1/2 PI) (asin (/ 1 a))) 13.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 13.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ 1 a))))) into 0 13.113 * [backup-simplify]: Simplify (- 0) into 0 13.113 * [backup-simplify]: Simplify (+ 0 0) into 0 13.113 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))) into 0 13.116 * [backup-simplify]: Simplify (- 0) into 0 13.116 * [backup-simplify]: Simplify (+ 0 0) into 0 13.116 * [backup-simplify]: Simplify 0 into 0 13.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 13.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))) into 0 13.119 * [backup-simplify]: Simplify (- 0) into 0 13.119 * [backup-simplify]: Simplify (+ 0 0) into 0 13.120 * [backup-simplify]: Simplify 0 into 0 13.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 13.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))) into 0 13.123 * [backup-simplify]: Simplify (- 0) into 0 13.123 * [backup-simplify]: Simplify (+ 0 0) into 0 13.123 * [backup-simplify]: Simplify 0 into 0 13.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 13.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))))) into 0 13.128 * [backup-simplify]: Simplify (- 0) into 0 13.129 * [backup-simplify]: Simplify (+ 0 0) into 0 13.129 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 13.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 13.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))))) into 0 13.137 * [backup-simplify]: Simplify (- 0) into 0 13.138 * [backup-simplify]: Simplify (+ 0 0) into 0 13.138 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (/ 1 (/ 1 a)))) (/ 1 a)) into (/ (- (* 1/2 PI) (asin a)) a) 13.140 * [backup-simplify]: Simplify (- (/ (/ PI 2) (/ 1 (- a))) (/ (asin (/ 1 (- a))) (/ 1 (- a)))) into (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) 13.140 * [approximate]: Taking taylor expansion of (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) in (a) around 0 13.140 * [taylor]: Taking taylor expansion of (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) in a 13.140 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 13.140 * [taylor]: Taking taylor expansion of a in a 13.140 * [backup-simplify]: Simplify 0 into 0 13.140 * [backup-simplify]: Simplify 1 into 1 13.140 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 13.140 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 13.140 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 13.140 * [taylor]: Taking taylor expansion of 1/2 in a 13.140 * [backup-simplify]: Simplify 1/2 into 1/2 13.140 * [taylor]: Taking taylor expansion of (* a PI) in a 13.141 * [taylor]: Taking taylor expansion of a in a 13.141 * [backup-simplify]: Simplify 0 into 0 13.141 * [backup-simplify]: Simplify 1 into 1 13.141 * [taylor]: Taking taylor expansion of PI in a 13.141 * [backup-simplify]: Simplify PI into PI 13.141 * [taylor]: Taking taylor expansion of (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) in a 13.141 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 13.141 * [taylor]: Taking taylor expansion of a in a 13.141 * [backup-simplify]: Simplify 0 into 0 13.141 * [backup-simplify]: Simplify 1 into 1 13.141 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 13.141 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 13.141 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 13.141 * [taylor]: Taking taylor expansion of 1/2 in a 13.141 * [backup-simplify]: Simplify 1/2 into 1/2 13.141 * [taylor]: Taking taylor expansion of (* a PI) in a 13.141 * [taylor]: Taking taylor expansion of a in a 13.141 * [backup-simplify]: Simplify 0 into 0 13.141 * [backup-simplify]: Simplify 1 into 1 13.141 * [taylor]: Taking taylor expansion of PI in a 13.141 * [backup-simplify]: Simplify PI into PI 13.141 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 13.142 * [backup-simplify]: Simplify (* 0 PI) into 0 13.143 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.144 * [backup-simplify]: Simplify (- 0) into 0 13.144 * [backup-simplify]: Simplify (+ 0 0) into 0 13.144 * [backup-simplify]: Simplify 0 into 0 13.145 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 13.147 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.149 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 13.151 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 13.152 * [backup-simplify]: Simplify (+ (asin (/ -1 a)) (- (* 1/2 PI))) into (- (asin (/ -1 a)) (* 1/2 PI)) 13.153 * [backup-simplify]: Simplify (- (asin (/ -1 a)) (* 1/2 PI)) into (- (asin (/ -1 a)) (* 1/2 PI)) 13.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ -1 a))))) into 0 13.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 13.158 * [backup-simplify]: Simplify (- 0) into 0 13.159 * [backup-simplify]: Simplify (+ 0 0) into 0 13.159 * [backup-simplify]: Simplify 0 into 0 13.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))) into 0 13.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.164 * [backup-simplify]: Simplify (- 0) into 0 13.165 * [backup-simplify]: Simplify (+ 0 0) into 0 13.165 * [backup-simplify]: Simplify 0 into 0 13.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))) into 0 13.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 13.171 * [backup-simplify]: Simplify (- 0) into 0 13.171 * [backup-simplify]: Simplify (+ 0 0) into 0 13.171 * [backup-simplify]: Simplify 0 into 0 13.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))) into 0 13.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 13.178 * [backup-simplify]: Simplify (- 0) into 0 13.179 * [backup-simplify]: Simplify (+ 0 0) into 0 13.179 * [backup-simplify]: Simplify 0 into 0 13.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))))) into 0 13.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 13.191 * [backup-simplify]: Simplify (- 0) into 0 13.191 * [backup-simplify]: Simplify (+ 0 0) into 0 13.191 * [backup-simplify]: Simplify 0 into 0 13.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))))) into 0 13.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 13.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 13.196 * [backup-simplify]: Simplify (- 0) into 0 13.197 * [backup-simplify]: Simplify (+ 0 0) into 0 13.197 * [backup-simplify]: Simplify 0 into 0 13.197 * [backup-simplify]: Simplify (* (- (asin (/ -1 (/ 1 (- a)))) (* 1/2 PI)) (/ 1 (- a))) into (* -1 (/ (- (asin a) (* 1/2 PI)) a)) 13.198 * * * [progress]: simplifying candidates 13.219 * [simplify]: Simplifying: (expm1 (/ (/ PI 2) a)) (log1p (/ (/ PI 2) a)) (- (- (log PI) (log 2)) (log a)) (- (log (/ PI 2)) (log a)) (log (/ (/ PI 2) a)) (exp (/ (/ PI 2) a)) (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* a a) a)) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* a a) a)) (* (cbrt (/ (/ PI 2) a)) (cbrt (/ (/ PI 2) a))) (cbrt (/ (/ PI 2) a)) (* (* (/ (/ PI 2) a) (/ (/ PI 2) a)) (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) a)) (- (/ PI 2)) (- a) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt a) (cbrt a))) (/ (cbrt (/ PI 2)) (cbrt a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt a)) (/ (cbrt (/ PI 2)) (sqrt a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) (* (cbrt a) (cbrt a))) (/ (sqrt (/ PI 2)) (cbrt a)) (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) a) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) (cbrt 2)) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (cbrt PI) (cbrt 2)) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) a) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) (sqrt 2)) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (sqrt a)) (/ (/ (cbrt PI) (sqrt 2)) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) a) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) 2) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt a)) (/ (/ (cbrt PI) 2) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2) a) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) (cbrt 2)) (cbrt a)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (sqrt PI) (cbrt 2)) (sqrt a)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt PI) (cbrt 2)) a) (/ (/ (sqrt PI) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) (sqrt 2)) (cbrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) a) (/ (/ (sqrt PI) 1) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) 2) (cbrt a)) (/ (/ (sqrt PI) 1) (sqrt a)) (/ (/ (sqrt PI) 2) (sqrt a)) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) a) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ PI (cbrt 2)) (cbrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ PI (cbrt 2)) (sqrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) a) (/ (/ 1 (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ PI (sqrt 2)) (cbrt a)) (/ (/ 1 (sqrt 2)) (sqrt a)) (/ (/ PI (sqrt 2)) (sqrt a)) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) a) (/ (/ 1 1) (* (cbrt a) (cbrt a))) (/ (/ PI 2) (cbrt a)) (/ (/ 1 1) (sqrt a)) (/ (/ PI 2) (sqrt a)) (/ (/ 1 1) 1) (/ (/ PI 2) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (/ PI 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ PI 2) (sqrt a)) (/ 1 1) (/ (/ PI 2) a) (/ PI (* (cbrt a) (cbrt a))) (/ (/ 1 2) (cbrt a)) (/ PI (sqrt a)) (/ (/ 1 2) (sqrt a)) (/ PI 1) (/ (/ 1 2) a) (/ 1 a) (/ a (/ PI 2)) (/ (/ PI 2) (* (cbrt a) (cbrt a))) (/ (/ PI 2) (sqrt a)) (/ (/ PI 2) 1) (/ a (cbrt (/ PI 2))) (/ a (sqrt (/ PI 2))) (/ a (/ (cbrt PI) (cbrt 2))) (/ a (/ (cbrt PI) (sqrt 2))) (/ a (/ (cbrt PI) 2)) (/ a (/ (sqrt PI) (cbrt 2))) (/ a (/ (sqrt PI) (sqrt 2))) (/ a (/ (sqrt PI) 2)) (/ a (/ PI (cbrt 2))) (/ a (/ PI (sqrt 2))) (/ a (/ PI 2)) (/ a (/ PI 2)) (/ a (/ 1 2)) (* a 2) (expm1 (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (log1p (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (- 1) (- (log (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (- 0 (log (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (- (log 1) (log (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (log (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (exp (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (* 1 1) 1) (* (* (- (- (/ (/ PI 2) a) (/ (asin a) a))) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (* (cbrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (cbrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a)))))) (cbrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (* (* (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (sqrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (sqrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (- 1) (- (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a)))))) (/ (cbrt 1) (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (cbrt 1) (sqrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))))) (/ (cbrt 1) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (cbrt 1) (sqrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (cbrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a))))) (/ (cbrt 1) (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (cbrt 1) (- (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a))))) (/ (cbrt 1) (- (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (cbrt 1) (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))))) (/ (cbrt 1) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (cbrt 1) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (- (/ (/ PI 2) (cbrt a)) (/ (asin a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (sqrt a)))) (/ (cbrt 1) (- (/ (/ PI 2) (sqrt a)) (/ (asin a) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 1))) (/ (cbrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (cbrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 a))) (/ (cbrt 1) (- (/ PI 2) (asin a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (cbrt 1) (- (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (cbrt 1) (- (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a)))) (/ (cbrt 1) (- (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (cbrt 1) (- (- (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a)))) (/ (cbrt 1) (- (- (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (cbrt 1) (- (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a)))) (/ (cbrt 1) (- (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (cbrt 1) (- (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (- (/ (/ PI 2) (cbrt a)) (/ (asin a) (cbrt a))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (- (- (/ (/ PI 2) (sqrt a)) (/ (asin a) (sqrt a))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 a)) (/ (cbrt 1) (- (- (/ PI 2) (asin a)))) (/ (sqrt 1) (* (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a)))))) (/ (sqrt 1) (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (sqrt 1) (sqrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (sqrt 1) (sqrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (sqrt 1) 1) (/ 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(sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))) (- (/ (/ PI 2) (cbrt a)) (/ (asin a) (cbrt a))) (- (/ (/ PI 2) (sqrt a)) (/ (asin a) (sqrt a))) (- (/ (/ PI 2) a) (/ (asin a) a)) (- (/ (/ PI 2) a) (/ (asin a) a)) (- (/ PI 2) (asin a)) (- (/ (/ PI 2) a) (/ (/ PI 2) a)) (- (/ (asin a) a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (/ a (- (asin a) (* 1/2 PI))) (/ a (- (asin a) (* 1/2 PI))) (* -1 (/ a (- (* 1/2 PI) (asin a)))) (/ (asin a) a) (/ (asin a) a) (/ (asin a) a) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (* 1/2 PI) (asin a)) a) (* -1 (/ (- (asin a) (* 1/2 PI)) a)) 13.283 * * [simplify]: Extracting # 0 : cost 0 13.286 * * [simplify]: Extracting # 1 : cost 0 13.289 * * [simplify]: Extracting # 2 : cost 0 13.292 * * [simplify]: Extracting # 3 : cost 0 13.295 * * [simplify]: Extracting # 4 : cost 0 13.297 * * [simplify]: Extracting # 5 : cost 0 13.300 * * [simplify]: Extracting # 6 : cost 0 13.302 * * [simplify]: Extracting # 7 : cost 0 13.308 * * [simplify]: iteration 0 : 1070 enodes (cost 36729 ) 13.916 * * [simplify]: Extracting # 0 : cost 0 13.923 * * [simplify]: Extracting # 1 : cost 0 13.927 * * [simplify]: Extracting # 2 : cost 0 13.930 * * [simplify]: Extracting # 3 : cost 0 13.933 * * [simplify]: Extracting # 4 : cost 0 13.944 * * [simplify]: iteration 1 : 2160 enodes (cost 32089 ) 14.969 * * [simplify]: Extracting # 0 : cost 0 14.983 * * [simplify]: Extracting # 1 : cost 0 14.991 * * [simplify]: Extracting # 2 : cost 0 15.000 * * [simplify]: Extracting # 3 : cost 0 15.009 * * [simplify]: Extracting # 4 : cost 0 15.026 * * [simplify]: iteration 2 : 4188 enodes (cost 24236 ) 16.300 * * [simplify]: Extracting # 0 : cost 0 16.312 * * [simplify]: Extracting # 1 : cost 0 16.322 * * [simplify]: 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a)) a)) (sqrt (/ (- (* 1/2 PI) (asin a)) a)) (- (/ PI 2) (asin a)) (- (* (/ PI 2) a) (* a (asin a))) (* a a) (- (pow (/ (/ PI 2) a) 3) (pow (/ (asin a) a) 3)) (fma (/ (/ PI 2) a) (/ (/ PI 2) a) (* (/ (asin a) a) (+ (/ (/ PI 2) a) (/ (asin a) a)))) (- (/ (asin a) a)) (* (+ (/ (/ PI 2) a) (/ (asin a) a)) (/ (- (* 1/2 PI) (asin a)) a)) (+ (/ (/ PI 2) a) (/ (asin a) a)) (+ (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a))) (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a))) (+ (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a))) (- (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a))) (+ (sqrt (/ (asin a) a)) (/ (sqrt (/ PI 2)) (sqrt a))) (- (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a))) (+ (/ (sqrt (asin a)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt a))) (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))) (- (/ (/ PI 2) (cbrt a)) (/ (asin a) (cbrt a))) (- (/ (/ PI 2) (sqrt a)) (/ (asin a) (sqrt a))) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (* 1/2 PI) (asin a)) a) (- (/ PI 2) (asin a)) 0 (- (/ (asin a) a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (/ a (fma PI -1/2 (asin a))) (/ a (fma PI -1/2 (asin a))) (- (/ a (- (* 1/2 PI) (asin a)))) (/ (asin a) a) (/ (asin a) a) (/ (asin a) a) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (fma PI -1/2 (asin a))) a) 16.377 * * * [progress]: adding candidates to table 19.174 * * [progress]: iteration 4 / 4 19.174 * * * [progress]: picking best candidate 19.221 * * * * [pick]: Picked # 19.221 * * * [progress]: localizing error 19.234 * * * [progress]: generating rewritten candidates 19.234 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 19.278 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 19.391 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 19.425 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 19.443 * * * [progress]: generating series expansions 19.443 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 19.444 * [backup-simplify]: Simplify (* (/ PI 2) (/ 1 a)) into (* 1/2 (/ PI a)) 19.444 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 19.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 19.444 * [taylor]: Taking taylor expansion of 1/2 in a 19.444 * [backup-simplify]: Simplify 1/2 into 1/2 19.444 * [taylor]: Taking taylor expansion of (/ PI a) in a 19.444 * [taylor]: Taking taylor expansion of PI in a 19.444 * [backup-simplify]: Simplify PI into PI 19.444 * [taylor]: Taking taylor expansion of a in a 19.444 * [backup-simplify]: Simplify 0 into 0 19.444 * [backup-simplify]: Simplify 1 into 1 19.445 * [backup-simplify]: Simplify (/ PI 1) into PI 19.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 19.445 * [taylor]: Taking taylor expansion of 1/2 in a 19.445 * [backup-simplify]: Simplify 1/2 into 1/2 19.445 * [taylor]: Taking taylor expansion of (/ PI a) in a 19.445 * [taylor]: Taking taylor expansion of PI in a 19.445 * [backup-simplify]: Simplify PI into PI 19.445 * [taylor]: Taking taylor expansion of a in a 19.445 * [backup-simplify]: Simplify 0 into 0 19.445 * [backup-simplify]: Simplify 1 into 1 19.446 * [backup-simplify]: Simplify (/ PI 1) into PI 19.447 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 19.447 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 19.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 19.450 * [backup-simplify]: Simplify 0 into 0 19.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 19.453 * [backup-simplify]: Simplify 0 into 0 19.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.455 * [backup-simplify]: Simplify 0 into 0 19.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.459 * [backup-simplify]: Simplify 0 into 0 19.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.463 * [backup-simplify]: Simplify 0 into 0 19.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.466 * [backup-simplify]: Simplify 0 into 0 19.467 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 19.468 * [backup-simplify]: Simplify (* (/ PI 2) (/ 1 (/ 1 a))) into (* 1/2 (* a PI)) 19.468 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 19.468 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.468 * [taylor]: Taking taylor expansion of 1/2 in a 19.468 * [backup-simplify]: Simplify 1/2 into 1/2 19.468 * [taylor]: Taking taylor expansion of (* a PI) in a 19.468 * [taylor]: Taking taylor expansion of a in a 19.468 * [backup-simplify]: Simplify 0 into 0 19.468 * [backup-simplify]: Simplify 1 into 1 19.468 * [taylor]: Taking taylor expansion of PI in a 19.468 * [backup-simplify]: Simplify PI into PI 19.468 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.468 * [taylor]: Taking taylor expansion of 1/2 in a 19.468 * [backup-simplify]: Simplify 1/2 into 1/2 19.468 * [taylor]: Taking taylor expansion of (* a PI) in a 19.468 * [taylor]: Taking taylor expansion of a in a 19.468 * [backup-simplify]: Simplify 0 into 0 19.468 * [backup-simplify]: Simplify 1 into 1 19.468 * [taylor]: Taking taylor expansion of PI in a 19.468 * [backup-simplify]: Simplify PI into PI 19.469 * [backup-simplify]: Simplify (* 0 PI) into 0 19.470 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.470 * [backup-simplify]: Simplify 0 into 0 19.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.473 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 19.474 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 19.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 19.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 19.476 * [backup-simplify]: Simplify 0 into 0 19.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 19.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 19.479 * [backup-simplify]: Simplify 0 into 0 19.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 19.482 * [backup-simplify]: Simplify 0 into 0 19.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 19.486 * [backup-simplify]: Simplify 0 into 0 19.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 19.490 * [backup-simplify]: Simplify 0 into 0 19.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 19.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 19.495 * [backup-simplify]: Simplify 0 into 0 19.496 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 19.496 * [backup-simplify]: Simplify (* (/ PI 2) (/ 1 (/ 1 (- a)))) into (* -1/2 (* a PI)) 19.496 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 19.497 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 19.497 * [taylor]: Taking taylor expansion of -1/2 in a 19.497 * [backup-simplify]: Simplify -1/2 into -1/2 19.497 * [taylor]: Taking taylor expansion of (* a PI) in a 19.497 * [taylor]: Taking taylor expansion of a in a 19.497 * [backup-simplify]: Simplify 0 into 0 19.497 * [backup-simplify]: Simplify 1 into 1 19.497 * [taylor]: Taking taylor expansion of PI in a 19.497 * [backup-simplify]: Simplify PI into PI 19.497 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 19.497 * [taylor]: Taking taylor expansion of -1/2 in a 19.497 * [backup-simplify]: Simplify -1/2 into -1/2 19.497 * [taylor]: Taking taylor expansion of (* a PI) in a 19.497 * [taylor]: Taking taylor expansion of a in a 19.497 * [backup-simplify]: Simplify 0 into 0 19.497 * [backup-simplify]: Simplify 1 into 1 19.497 * [taylor]: Taking taylor expansion of PI in a 19.497 * [backup-simplify]: Simplify PI into PI 19.498 * [backup-simplify]: Simplify (* 0 PI) into 0 19.498 * [backup-simplify]: Simplify (* -1/2 0) into 0 19.499 * [backup-simplify]: Simplify 0 into 0 19.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.502 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 19.503 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 19.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 19.506 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 19.506 * [backup-simplify]: Simplify 0 into 0 19.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 19.509 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 19.509 * [backup-simplify]: Simplify 0 into 0 19.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.512 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 19.512 * [backup-simplify]: Simplify 0 into 0 19.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.516 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 19.516 * [backup-simplify]: Simplify 0 into 0 19.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.521 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 19.521 * [backup-simplify]: Simplify 0 into 0 19.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 19.525 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 19.525 * [backup-simplify]: Simplify 0 into 0 19.527 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 19.527 * * * * [progress]: [ 2 / 4 ] generating series at (2) 19.528 * [backup-simplify]: Simplify (/ 1 (- (- (* (/ PI 2) (/ 1 a)) (/ (asin a) a)))) into (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) 19.528 * [approximate]: Taking taylor expansion of (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) in (a) around 0 19.528 * [taylor]: Taking taylor expansion of (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) in a 19.528 * [taylor]: Taking taylor expansion of (- (/ (asin a) a) (* 1/2 (/ PI a))) in a 19.528 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 19.528 * [taylor]: Taking taylor expansion of (asin a) in a 19.528 * [backup-simplify]: Simplify (asin a) into (asin a) 19.528 * [taylor]: Taking taylor expansion of a in a 19.528 * [backup-simplify]: Simplify 0 into 0 19.528 * [backup-simplify]: Simplify 1 into 1 19.529 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 19.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 19.529 * [taylor]: Taking taylor expansion of 1/2 in a 19.529 * [backup-simplify]: Simplify 1/2 into 1/2 19.529 * [taylor]: Taking taylor expansion of (/ PI a) in a 19.529 * [taylor]: Taking taylor expansion of PI in a 19.529 * [backup-simplify]: Simplify PI into PI 19.529 * [taylor]: Taking taylor expansion of a in a 19.529 * [backup-simplify]: Simplify 0 into 0 19.529 * [backup-simplify]: Simplify 1 into 1 19.529 * [backup-simplify]: Simplify (/ PI 1) into PI 19.530 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 19.531 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 19.533 * [backup-simplify]: Simplify (+ (asin a) (- (* 1/2 PI))) into (- (asin a) (* 1/2 PI)) 19.533 * [backup-simplify]: Simplify (/ 1 (- (asin a) (* 1/2 PI))) into (/ 1 (- (asin a) (* 1/2 PI))) 19.533 * [taylor]: Taking taylor expansion of (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) in a 19.533 * [taylor]: Taking taylor expansion of (- (/ (asin a) a) (* 1/2 (/ PI a))) in a 19.533 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 19.534 * [taylor]: Taking taylor expansion of (asin a) in a 19.534 * [backup-simplify]: Simplify (asin a) into (asin a) 19.534 * [taylor]: Taking taylor expansion of a in a 19.534 * [backup-simplify]: Simplify 0 into 0 19.534 * [backup-simplify]: Simplify 1 into 1 19.534 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 19.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 19.534 * [taylor]: Taking taylor expansion of 1/2 in a 19.534 * [backup-simplify]: Simplify 1/2 into 1/2 19.534 * [taylor]: Taking taylor expansion of (/ PI a) in a 19.534 * [taylor]: Taking taylor expansion of PI in a 19.534 * [backup-simplify]: Simplify PI into PI 19.534 * [taylor]: Taking taylor expansion of a in a 19.534 * [backup-simplify]: Simplify 0 into 0 19.534 * [backup-simplify]: Simplify 1 into 1 19.535 * [backup-simplify]: Simplify (/ PI 1) into PI 19.535 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 19.536 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 19.538 * [backup-simplify]: Simplify (+ (asin a) (- (* 1/2 PI))) into (- (asin a) (* 1/2 PI)) 19.538 * [backup-simplify]: Simplify (/ 1 (- (asin a) (* 1/2 PI))) into (/ 1 (- (asin a) (* 1/2 PI))) 19.539 * [backup-simplify]: Simplify (/ 1 (- (asin a) (* 1/2 PI))) into (/ 1 (- (asin a) (* 1/2 PI))) 19.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)))) into 0 19.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 19.541 * [backup-simplify]: Simplify (- 0) into 0 19.542 * [backup-simplify]: Simplify (+ 0 0) into 0 19.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 19.543 * [backup-simplify]: Simplify 0 into 0 19.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 19.545 * [backup-simplify]: Simplify (- 0) into 0 19.546 * [backup-simplify]: Simplify (+ 0 0) into 0 19.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 19.547 * [backup-simplify]: Simplify 0 into 0 19.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.550 * [backup-simplify]: Simplify (- 0) into 0 19.550 * [backup-simplify]: Simplify (+ 0 0) into 0 19.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 19.552 * [backup-simplify]: Simplify 0 into 0 19.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.556 * [backup-simplify]: Simplify (- 0) into 0 19.557 * [backup-simplify]: Simplify (+ 0 0) into 0 19.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 19.559 * [backup-simplify]: Simplify 0 into 0 19.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.563 * [backup-simplify]: Simplify (- 0) into 0 19.563 * [backup-simplify]: Simplify (+ 0 0) into 0 19.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 19.565 * [backup-simplify]: Simplify 0 into 0 19.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.572 * [backup-simplify]: Simplify (- 0) into 0 19.572 * [backup-simplify]: Simplify (+ 0 0) into 0 19.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 19.577 * [backup-simplify]: Simplify 0 into 0 19.578 * [backup-simplify]: Simplify (* (/ 1 (- (asin a) (* 1/2 PI))) a) into (/ a (- (asin a) (* 1/2 PI))) 19.579 * [backup-simplify]: Simplify (/ 1 (- (- (* (/ PI 2) (/ 1 (/ 1 a))) (/ (asin (/ 1 a)) (/ 1 a))))) into (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) 19.579 * [approximate]: Taking taylor expansion of (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) in (a) around 0 19.579 * [taylor]: Taking taylor expansion of (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) in a 19.579 * [taylor]: Taking taylor expansion of (- (* a (asin (/ 1 a))) (* 1/2 (* a PI))) in a 19.579 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 19.579 * [taylor]: Taking taylor expansion of a in a 19.579 * [backup-simplify]: Simplify 0 into 0 19.579 * [backup-simplify]: Simplify 1 into 1 19.579 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 19.579 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 19.579 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.579 * [taylor]: Taking taylor expansion of 1/2 in a 19.579 * [backup-simplify]: Simplify 1/2 into 1/2 19.579 * [taylor]: Taking taylor expansion of (* a PI) in a 19.579 * [taylor]: Taking taylor expansion of a in a 19.579 * [backup-simplify]: Simplify 0 into 0 19.580 * [backup-simplify]: Simplify 1 into 1 19.580 * [taylor]: Taking taylor expansion of PI in a 19.580 * [backup-simplify]: Simplify PI into PI 19.580 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 19.580 * [backup-simplify]: Simplify (* 0 PI) into 0 19.581 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.590 * [backup-simplify]: Simplify (- 0) into 0 19.591 * [backup-simplify]: Simplify (+ 0 0) into 0 19.592 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 19.594 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.595 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 19.596 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 19.597 * [backup-simplify]: Simplify (+ (asin (/ 1 a)) (- (* 1/2 PI))) into (- (asin (/ 1 a)) (* 1/2 PI)) 19.598 * [backup-simplify]: Simplify (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) into (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) 19.598 * [taylor]: Taking taylor expansion of (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) in a 19.598 * [taylor]: Taking taylor expansion of (- (* a (asin (/ 1 a))) (* 1/2 (* a PI))) in a 19.598 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 19.598 * [taylor]: Taking taylor expansion of a in a 19.598 * [backup-simplify]: Simplify 0 into 0 19.598 * [backup-simplify]: Simplify 1 into 1 19.598 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 19.599 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 19.599 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.599 * [taylor]: Taking taylor expansion of 1/2 in a 19.599 * [backup-simplify]: Simplify 1/2 into 1/2 19.599 * [taylor]: Taking taylor expansion of (* a PI) in a 19.599 * [taylor]: Taking taylor expansion of a in a 19.599 * [backup-simplify]: Simplify 0 into 0 19.599 * [backup-simplify]: Simplify 1 into 1 19.599 * [taylor]: Taking taylor expansion of PI in a 19.599 * [backup-simplify]: Simplify PI into PI 19.599 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 19.600 * [backup-simplify]: Simplify (* 0 PI) into 0 19.600 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.600 * [backup-simplify]: Simplify (- 0) into 0 19.601 * [backup-simplify]: Simplify (+ 0 0) into 0 19.601 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 19.603 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.604 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 19.605 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 19.607 * [backup-simplify]: Simplify (+ (asin (/ 1 a)) (- (* 1/2 PI))) into (- (asin (/ 1 a)) (* 1/2 PI)) 19.607 * [backup-simplify]: Simplify (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) into (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) 19.608 * [backup-simplify]: Simplify (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) into (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) 19.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ 1 a))))) into 0 19.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 19.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 19.612 * [backup-simplify]: Simplify (- 0) into 0 19.612 * [backup-simplify]: Simplify (+ 0 0) into 0 19.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 19.614 * [backup-simplify]: Simplify 0 into 0 19.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))) into 0 19.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 19.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 19.618 * [backup-simplify]: Simplify (- 0) into 0 19.618 * [backup-simplify]: Simplify (+ 0 0) into 0 19.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 19.621 * [backup-simplify]: Simplify 0 into 0 19.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))) into 0 19.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 19.626 * [backup-simplify]: Simplify (- 0) into 0 19.627 * [backup-simplify]: Simplify (+ 0 0) into 0 19.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 19.630 * [backup-simplify]: Simplify 0 into 0 19.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))) into 0 19.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 19.636 * [backup-simplify]: Simplify (- 0) into 0 19.636 * [backup-simplify]: Simplify (+ 0 0) into 0 19.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 19.640 * [backup-simplify]: Simplify 0 into 0 19.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))))) into 0 19.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 19.647 * [backup-simplify]: Simplify (- 0) into 0 19.647 * [backup-simplify]: Simplify (+ 0 0) into 0 19.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 19.651 * [backup-simplify]: Simplify 0 into 0 19.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))))) into 0 19.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 19.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 19.660 * [backup-simplify]: Simplify (- 0) into 0 19.661 * [backup-simplify]: Simplify (+ 0 0) into 0 19.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 19.666 * [backup-simplify]: Simplify 0 into 0 19.667 * [backup-simplify]: Simplify (* (/ 1 (- (asin (/ 1 (/ 1 a))) (* 1/2 PI))) (/ 1 (/ 1 a))) into (/ a (- (asin a) (* 1/2 PI))) 19.669 * [backup-simplify]: Simplify (/ 1 (- (- (* (/ PI 2) (/ 1 (/ 1 (- a)))) (/ (asin (/ 1 (- a))) (/ 1 (- a)))))) into (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) 19.669 * [approximate]: Taking taylor expansion of (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) in (a) around 0 19.669 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) in a 19.669 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ -1 a)))) in a 19.669 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.669 * [taylor]: Taking taylor expansion of 1/2 in a 19.669 * [backup-simplify]: Simplify 1/2 into 1/2 19.669 * [taylor]: Taking taylor expansion of (* a PI) in a 19.669 * [taylor]: Taking taylor expansion of a in a 19.669 * [backup-simplify]: Simplify 0 into 0 19.669 * [backup-simplify]: Simplify 1 into 1 19.669 * [taylor]: Taking taylor expansion of PI in a 19.669 * [backup-simplify]: Simplify PI into PI 19.669 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 19.669 * [taylor]: Taking taylor expansion of a in a 19.669 * [backup-simplify]: Simplify 0 into 0 19.669 * [backup-simplify]: Simplify 1 into 1 19.669 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 19.669 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 19.670 * [backup-simplify]: Simplify (* 0 PI) into 0 19.671 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.671 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 19.672 * [backup-simplify]: Simplify (- 0) into 0 19.672 * [backup-simplify]: Simplify (+ 0 0) into 0 19.674 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.676 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 19.677 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 19.677 * [backup-simplify]: Simplify (- (asin (/ -1 a))) into (- (asin (/ -1 a))) 19.678 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (/ -1 a)))) into (- (* 1/2 PI) (asin (/ -1 a))) 19.679 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) into (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) 19.679 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) in a 19.679 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ -1 a)))) in a 19.679 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.679 * [taylor]: Taking taylor expansion of 1/2 in a 19.679 * [backup-simplify]: Simplify 1/2 into 1/2 19.679 * [taylor]: Taking taylor expansion of (* a PI) in a 19.679 * [taylor]: Taking taylor expansion of a in a 19.679 * [backup-simplify]: Simplify 0 into 0 19.679 * [backup-simplify]: Simplify 1 into 1 19.679 * [taylor]: Taking taylor expansion of PI in a 19.679 * [backup-simplify]: Simplify PI into PI 19.679 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 19.679 * [taylor]: Taking taylor expansion of a in a 19.679 * [backup-simplify]: Simplify 0 into 0 19.679 * [backup-simplify]: Simplify 1 into 1 19.679 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 19.679 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 19.680 * [backup-simplify]: Simplify (* 0 PI) into 0 19.681 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.681 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 19.681 * [backup-simplify]: Simplify (- 0) into 0 19.682 * [backup-simplify]: Simplify (+ 0 0) into 0 19.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.686 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 19.687 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 19.687 * [backup-simplify]: Simplify (- (asin (/ -1 a))) into (- (asin (/ -1 a))) 19.688 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (/ -1 a)))) into (- (* 1/2 PI) (asin (/ -1 a))) 19.689 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) into (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) 19.691 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) into (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) 19.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 19.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 19.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ -1 a))))) into 0 19.696 * [backup-simplify]: Simplify (- 0) into 0 19.697 * [backup-simplify]: Simplify (+ 0 0) into 0 19.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 19.699 * [backup-simplify]: Simplify 0 into 0 19.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 19.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 19.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))) into 0 19.705 * [backup-simplify]: Simplify (- 0) into 0 19.705 * [backup-simplify]: Simplify (+ 0 0) into 0 19.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 19.708 * [backup-simplify]: Simplify 0 into 0 19.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 19.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))) into 0 19.715 * [backup-simplify]: Simplify (- 0) into 0 19.715 * [backup-simplify]: Simplify (+ 0 0) into 0 19.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 19.719 * [backup-simplify]: Simplify 0 into 0 19.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 19.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))) into 0 19.726 * [backup-simplify]: Simplify (- 0) into 0 19.726 * [backup-simplify]: Simplify (+ 0 0) into 0 19.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 19.729 * [backup-simplify]: Simplify 0 into 0 19.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 19.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))))) into 0 19.734 * [backup-simplify]: Simplify (- 0) into 0 19.734 * [backup-simplify]: Simplify (+ 0 0) into 0 19.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 19.737 * [backup-simplify]: Simplify 0 into 0 19.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 19.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 19.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))))) into 0 19.742 * [backup-simplify]: Simplify (- 0) into 0 19.742 * [backup-simplify]: Simplify (+ 0 0) into 0 19.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 19.746 * [backup-simplify]: Simplify 0 into 0 19.746 * [backup-simplify]: Simplify (* (/ 1 (- (* 1/2 PI) (asin (/ -1 (/ 1 (- a)))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (- (* 1/2 PI) (asin a)))) 19.746 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 19.747 * [backup-simplify]: Simplify (- (* (/ PI 2) (/ 1 a)) (/ (asin a) a)) into (- (* 1/2 (/ PI a)) (/ (asin a) a)) 19.747 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (/ (asin a) a)) in (a) around 0 19.747 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (/ (asin a) a)) in a 19.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 19.747 * [taylor]: Taking taylor expansion of 1/2 in a 19.747 * [backup-simplify]: Simplify 1/2 into 1/2 19.747 * [taylor]: Taking taylor expansion of (/ PI a) in a 19.747 * [taylor]: Taking taylor expansion of PI in a 19.747 * [backup-simplify]: Simplify PI into PI 19.747 * [taylor]: Taking taylor expansion of a in a 19.747 * [backup-simplify]: Simplify 0 into 0 19.747 * [backup-simplify]: Simplify 1 into 1 19.748 * [backup-simplify]: Simplify (/ PI 1) into PI 19.748 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 19.748 * [taylor]: Taking taylor expansion of (asin a) in a 19.748 * [backup-simplify]: Simplify (asin a) into (asin a) 19.748 * [taylor]: Taking taylor expansion of a in a 19.748 * [backup-simplify]: Simplify 0 into 0 19.748 * [backup-simplify]: Simplify 1 into 1 19.748 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 19.748 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (/ (asin a) a)) in a 19.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 19.748 * [taylor]: Taking taylor expansion of 1/2 in a 19.748 * [backup-simplify]: Simplify 1/2 into 1/2 19.748 * [taylor]: Taking taylor expansion of (/ PI a) in a 19.748 * [taylor]: Taking taylor expansion of PI in a 19.748 * [backup-simplify]: Simplify PI into PI 19.748 * [taylor]: Taking taylor expansion of a in a 19.748 * [backup-simplify]: Simplify 0 into 0 19.748 * [backup-simplify]: Simplify 1 into 1 19.749 * [backup-simplify]: Simplify (/ PI 1) into PI 19.749 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 19.749 * [taylor]: Taking taylor expansion of (asin a) in a 19.749 * [backup-simplify]: Simplify (asin a) into (asin a) 19.749 * [taylor]: Taking taylor expansion of a in a 19.749 * [backup-simplify]: Simplify 0 into 0 19.749 * [backup-simplify]: Simplify 1 into 1 19.749 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 19.749 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 19.749 * [backup-simplify]: Simplify (- (asin a)) into (- (asin a)) 19.750 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin a))) into (- (* 1/2 PI) (asin a)) 19.750 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin a)) into (- (* 1/2 PI) (asin a)) 19.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 19.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)))) into 0 19.753 * [backup-simplify]: Simplify (- 0) into 0 19.753 * [backup-simplify]: Simplify (+ 0 0) into 0 19.753 * [backup-simplify]: Simplify 0 into 0 19.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 19.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.764 * [backup-simplify]: Simplify (- 0) into 0 19.765 * [backup-simplify]: Simplify (+ 0 0) into 0 19.765 * [backup-simplify]: Simplify 0 into 0 19.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.768 * [backup-simplify]: Simplify (- 0) into 0 19.769 * [backup-simplify]: Simplify (+ 0 0) into 0 19.769 * [backup-simplify]: Simplify 0 into 0 19.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.772 * [backup-simplify]: Simplify (- 0) into 0 19.773 * [backup-simplify]: Simplify (+ 0 0) into 0 19.773 * [backup-simplify]: Simplify 0 into 0 19.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.777 * [backup-simplify]: Simplify (- 0) into 0 19.777 * [backup-simplify]: Simplify (+ 0 0) into 0 19.777 * [backup-simplify]: Simplify 0 into 0 19.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.784 * [backup-simplify]: Simplify (- 0) into 0 19.784 * [backup-simplify]: Simplify (+ 0 0) into 0 19.784 * [backup-simplify]: Simplify 0 into 0 19.785 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin a)) (/ 1 a)) into (/ (- (* 1/2 PI) (asin a)) a) 19.786 * [backup-simplify]: Simplify (- (* (/ PI 2) (/ 1 (/ 1 a))) (/ (asin (/ 1 a)) (/ 1 a))) into (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) 19.786 * [approximate]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) in (a) around 0 19.786 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) in a 19.786 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.786 * [taylor]: Taking taylor expansion of 1/2 in a 19.786 * [backup-simplify]: Simplify 1/2 into 1/2 19.786 * [taylor]: Taking taylor expansion of (* a PI) in a 19.786 * [taylor]: Taking taylor expansion of a in a 19.786 * [backup-simplify]: Simplify 0 into 0 19.786 * [backup-simplify]: Simplify 1 into 1 19.786 * [taylor]: Taking taylor expansion of PI in a 19.786 * [backup-simplify]: Simplify PI into PI 19.787 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 19.787 * [taylor]: Taking taylor expansion of a in a 19.787 * [backup-simplify]: Simplify 0 into 0 19.787 * [backup-simplify]: Simplify 1 into 1 19.787 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 19.787 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 19.787 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) in a 19.787 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.787 * [taylor]: Taking taylor expansion of 1/2 in a 19.787 * [backup-simplify]: Simplify 1/2 into 1/2 19.787 * [taylor]: Taking taylor expansion of (* a PI) in a 19.787 * [taylor]: Taking taylor expansion of a in a 19.787 * [backup-simplify]: Simplify 0 into 0 19.787 * [backup-simplify]: Simplify 1 into 1 19.787 * [taylor]: Taking taylor expansion of PI in a 19.787 * [backup-simplify]: Simplify PI into PI 19.787 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 19.787 * [taylor]: Taking taylor expansion of a in a 19.787 * [backup-simplify]: Simplify 0 into 0 19.787 * [backup-simplify]: Simplify 1 into 1 19.787 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 19.787 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 19.788 * [backup-simplify]: Simplify (* 0 PI) into 0 19.789 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.789 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 19.789 * [backup-simplify]: Simplify (- 0) into 0 19.790 * [backup-simplify]: Simplify (+ 0 0) into 0 19.790 * [backup-simplify]: Simplify 0 into 0 19.792 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.794 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 19.794 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 19.794 * [backup-simplify]: Simplify (- (asin (/ 1 a))) into (- (asin (/ 1 a))) 19.795 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (/ 1 a)))) into (- (* 1/2 PI) (asin (/ 1 a))) 19.796 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (/ 1 a))) into (- (* 1/2 PI) (asin (/ 1 a))) 19.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 19.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 19.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ 1 a))))) into 0 19.800 * [backup-simplify]: Simplify (- 0) into 0 19.800 * [backup-simplify]: Simplify (+ 0 0) into 0 19.801 * [backup-simplify]: Simplify 0 into 0 19.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 19.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 19.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))) into 0 19.805 * [backup-simplify]: Simplify (- 0) into 0 19.806 * [backup-simplify]: Simplify (+ 0 0) into 0 19.806 * [backup-simplify]: Simplify 0 into 0 19.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 19.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))) into 0 19.812 * [backup-simplify]: Simplify (- 0) into 0 19.813 * [backup-simplify]: Simplify (+ 0 0) into 0 19.813 * [backup-simplify]: Simplify 0 into 0 19.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 19.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))) into 0 19.820 * [backup-simplify]: Simplify (- 0) into 0 19.820 * [backup-simplify]: Simplify (+ 0 0) into 0 19.820 * [backup-simplify]: Simplify 0 into 0 19.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 19.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))))) into 0 19.828 * [backup-simplify]: Simplify (- 0) into 0 19.829 * [backup-simplify]: Simplify (+ 0 0) into 0 19.829 * [backup-simplify]: Simplify 0 into 0 19.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 19.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 19.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))))) into 0 19.838 * [backup-simplify]: Simplify (- 0) into 0 19.838 * [backup-simplify]: Simplify (+ 0 0) into 0 19.838 * [backup-simplify]: Simplify 0 into 0 19.839 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (/ 1 (/ 1 a)))) (/ 1 a)) into (/ (- (* 1/2 PI) (asin a)) a) 19.840 * [backup-simplify]: Simplify (- (* (/ PI 2) (/ 1 (/ 1 (- a)))) (/ (asin (/ 1 (- a))) (/ 1 (- a)))) into (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) 19.840 * [approximate]: Taking taylor expansion of (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) in (a) around 0 19.840 * [taylor]: Taking taylor expansion of (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) in a 19.840 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 19.840 * [taylor]: Taking taylor expansion of a in a 19.840 * [backup-simplify]: Simplify 0 into 0 19.841 * [backup-simplify]: Simplify 1 into 1 19.841 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 19.841 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 19.841 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.841 * [taylor]: Taking taylor expansion of 1/2 in a 19.841 * [backup-simplify]: Simplify 1/2 into 1/2 19.841 * [taylor]: Taking taylor expansion of (* a PI) in a 19.841 * [taylor]: Taking taylor expansion of a in a 19.841 * [backup-simplify]: Simplify 0 into 0 19.841 * [backup-simplify]: Simplify 1 into 1 19.841 * [taylor]: Taking taylor expansion of PI in a 19.841 * [backup-simplify]: Simplify PI into PI 19.841 * [taylor]: Taking taylor expansion of (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) in a 19.841 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 19.841 * [taylor]: Taking taylor expansion of a in a 19.841 * [backup-simplify]: Simplify 0 into 0 19.841 * [backup-simplify]: Simplify 1 into 1 19.841 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 19.841 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 19.841 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 19.841 * [taylor]: Taking taylor expansion of 1/2 in a 19.841 * [backup-simplify]: Simplify 1/2 into 1/2 19.841 * [taylor]: Taking taylor expansion of (* a PI) in a 19.841 * [taylor]: Taking taylor expansion of a in a 19.841 * [backup-simplify]: Simplify 0 into 0 19.841 * [backup-simplify]: Simplify 1 into 1 19.841 * [taylor]: Taking taylor expansion of PI in a 19.841 * [backup-simplify]: Simplify PI into PI 19.842 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 19.842 * [backup-simplify]: Simplify (* 0 PI) into 0 19.843 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.843 * [backup-simplify]: Simplify (- 0) into 0 19.844 * [backup-simplify]: Simplify (+ 0 0) into 0 19.844 * [backup-simplify]: Simplify 0 into 0 19.844 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 19.846 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.848 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 19.849 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 19.851 * [backup-simplify]: Simplify (+ (asin (/ -1 a)) (- (* 1/2 PI))) into (- (asin (/ -1 a)) (* 1/2 PI)) 19.851 * [backup-simplify]: Simplify (- (asin (/ -1 a)) (* 1/2 PI)) into (- (asin (/ -1 a)) (* 1/2 PI)) 19.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ -1 a))))) into 0 19.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 19.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 19.856 * [backup-simplify]: Simplify (- 0) into 0 19.856 * [backup-simplify]: Simplify (+ 0 0) into 0 19.856 * [backup-simplify]: Simplify 0 into 0 19.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))) into 0 19.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 19.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 19.861 * [backup-simplify]: Simplify (- 0) into 0 19.862 * [backup-simplify]: Simplify (+ 0 0) into 0 19.862 * [backup-simplify]: Simplify 0 into 0 19.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))) into 0 19.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 19.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 19.869 * [backup-simplify]: Simplify (- 0) into 0 19.869 * [backup-simplify]: Simplify (+ 0 0) into 0 19.869 * [backup-simplify]: Simplify 0 into 0 19.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))) into 0 19.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 19.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 19.876 * [backup-simplify]: Simplify (- 0) into 0 19.877 * [backup-simplify]: Simplify (+ 0 0) into 0 19.877 * [backup-simplify]: Simplify 0 into 0 19.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))))) into 0 19.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 19.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 19.884 * [backup-simplify]: Simplify (- 0) into 0 19.885 * [backup-simplify]: Simplify (+ 0 0) into 0 19.885 * [backup-simplify]: Simplify 0 into 0 19.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))))) into 0 19.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 19.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 19.894 * [backup-simplify]: Simplify (- 0) into 0 19.894 * [backup-simplify]: Simplify (+ 0 0) into 0 19.895 * [backup-simplify]: Simplify 0 into 0 19.896 * [backup-simplify]: Simplify (* (- (asin (/ -1 (/ 1 (- a)))) (* 1/2 PI)) (/ 1 (- a))) into (* -1 (/ (- (asin a) (* 1/2 PI)) a)) 19.896 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 19.896 * [backup-simplify]: Simplify (/ (asin a) a) into (/ (asin a) a) 19.896 * [approximate]: Taking taylor expansion of (/ (asin a) a) in (a) around 0 19.896 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 19.896 * [taylor]: Taking taylor expansion of (asin a) in a 19.896 * [backup-simplify]: Simplify (asin a) into (asin a) 19.896 * [taylor]: Taking taylor expansion of a in a 19.896 * [backup-simplify]: Simplify 0 into 0 19.896 * [backup-simplify]: Simplify 1 into 1 19.896 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 19.896 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 19.896 * [taylor]: Taking taylor expansion of (asin a) in a 19.896 * [backup-simplify]: Simplify (asin a) into (asin a) 19.896 * [taylor]: Taking taylor expansion of a in a 19.896 * [backup-simplify]: Simplify 0 into 0 19.896 * [backup-simplify]: Simplify 1 into 1 19.897 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 19.897 * [backup-simplify]: Simplify (asin a) into (asin a) 19.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)))) into 0 19.898 * [backup-simplify]: Simplify 0 into 0 19.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.900 * [backup-simplify]: Simplify 0 into 0 19.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.903 * [backup-simplify]: Simplify 0 into 0 19.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.906 * [backup-simplify]: Simplify 0 into 0 19.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.909 * [backup-simplify]: Simplify 0 into 0 19.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [backup-simplify]: Simplify (* (asin a) (/ 1 a)) into (/ (asin a) a) 19.914 * [backup-simplify]: Simplify (/ (asin (/ 1 a)) (/ 1 a)) into (* a (asin (/ 1 a))) 19.914 * [approximate]: Taking taylor expansion of (* a (asin (/ 1 a))) in (a) around 0 19.914 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 19.914 * [taylor]: Taking taylor expansion of a in a 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [backup-simplify]: Simplify 1 into 1 19.914 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 19.914 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 19.914 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 19.914 * [taylor]: Taking taylor expansion of a in a 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [backup-simplify]: Simplify 1 into 1 19.914 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 19.915 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 19.915 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 19.915 * [backup-simplify]: Simplify 0 into 0 19.916 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 19.916 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 19.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ 1 a))))) into 0 19.918 * [backup-simplify]: Simplify 0 into 0 19.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))) into 0 19.920 * [backup-simplify]: Simplify 0 into 0 19.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))) into 0 19.922 * [backup-simplify]: Simplify 0 into 0 19.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))) into 0 19.925 * [backup-simplify]: Simplify 0 into 0 19.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))))) into 0 19.929 * [backup-simplify]: Simplify 0 into 0 19.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))))) into 0 19.933 * [backup-simplify]: Simplify 0 into 0 19.933 * [backup-simplify]: Simplify (* (asin (/ 1 (/ 1 a))) (/ 1 a)) into (/ (asin a) a) 19.933 * [backup-simplify]: Simplify (/ (asin (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (asin (/ -1 a)))) 19.933 * [approximate]: Taking taylor expansion of (* -1 (* a (asin (/ -1 a)))) in (a) around 0 19.933 * [taylor]: Taking taylor expansion of (* -1 (* a (asin (/ -1 a)))) in a 19.933 * [taylor]: Taking taylor expansion of -1 in a 19.933 * [backup-simplify]: Simplify -1 into -1 19.933 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 19.933 * [taylor]: Taking taylor expansion of a in a 19.934 * [backup-simplify]: Simplify 0 into 0 19.934 * [backup-simplify]: Simplify 1 into 1 19.934 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 19.934 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 19.934 * [taylor]: Taking taylor expansion of (* -1 (* a (asin (/ -1 a)))) in a 19.934 * [taylor]: Taking taylor expansion of -1 in a 19.934 * [backup-simplify]: Simplify -1 into -1 19.934 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 19.934 * [taylor]: Taking taylor expansion of a in a 19.934 * [backup-simplify]: Simplify 0 into 0 19.934 * [backup-simplify]: Simplify 1 into 1 19.934 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 19.934 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 19.934 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 19.935 * [backup-simplify]: Simplify (* -1 0) into 0 19.935 * [backup-simplify]: Simplify 0 into 0 19.936 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 19.936 * [backup-simplify]: Simplify (+ (* -1 (asin (/ -1 a))) (* 0 0)) into (- (asin (/ -1 a))) 19.937 * [backup-simplify]: Simplify (- (asin (/ -1 a))) into (- (asin (/ -1 a))) 19.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ -1 a))))) into 0 19.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (asin (/ -1 a))) (* 0 0))) into 0 19.949 * [backup-simplify]: Simplify 0 into 0 19.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))) into 0 19.952 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0)))) into 0 19.952 * [backup-simplify]: Simplify 0 into 0 19.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))) into 0 19.956 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0))))) into 0 19.956 * [backup-simplify]: Simplify 0 into 0 19.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))) into 0 19.960 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0)))))) into 0 19.960 * [backup-simplify]: Simplify 0 into 0 19.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))))) into 0 19.964 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0))))))) into 0 19.964 * [backup-simplify]: Simplify 0 into 0 19.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))))) into 0 19.968 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0)))))))) into 0 19.968 * [backup-simplify]: Simplify 0 into 0 19.968 * [backup-simplify]: Simplify (* (- (asin (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (asin a) a) 19.968 * * * [progress]: simplifying candidates 19.972 * [simplify]: Simplifying: (expm1 (* (/ PI 2) (/ 1 a))) (log1p (* (/ PI 2) (/ 1 a))) (* (/ PI 2) (/ 1 a)) (+ (- (log PI) (log 2)) (- (log a))) (+ (- (log PI) (log 2)) (- 0 (log a))) (+ (- (log PI) (log 2)) (- (log 1) (log a))) (+ (- (log PI) (log 2)) (log (/ 1 a))) (+ (log (/ PI 2)) (- (log a))) (+ (log (/ PI 2)) (- 0 (log a))) (+ (log (/ PI 2)) (- (log 1) (log a))) (+ (log (/ PI 2)) (log (/ 1 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2) a)) (- (/ (asin a) a)) (expm1 (/ (asin a) a)) (log1p (/ (asin a) a)) (- (log (asin a)) (log a)) (log (/ (asin a) a)) (exp (/ (asin a) a)) (/ (* (* (asin a) (asin a)) (asin a)) (* (* a a) a)) (* (cbrt (/ (asin a) a)) (cbrt (/ (asin a) a))) (cbrt (/ (asin a) a)) (* (* (/ (asin a) a) (/ (asin a) a)) (/ (asin a) a)) (sqrt (/ (asin a) a)) (sqrt (/ (asin a) a)) (- (asin a)) (- a) (/ (/ PI 2) a) (/ (acos a) a) (/ (* (cbrt (asin a)) (cbrt (asin a))) (* (cbrt a) (cbrt a))) (/ (cbrt (asin a)) (cbrt a)) (/ (* (cbrt (asin a)) (cbrt (asin a))) (sqrt a)) (/ (cbrt (asin a)) (sqrt a)) (/ (* (cbrt (asin a)) (cbrt (asin a))) 1) (/ (cbrt (asin a)) a) (/ (sqrt (asin a)) (* (cbrt a) (cbrt a))) (/ (sqrt (asin a)) (cbrt a)) (/ (sqrt (asin a)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)) (/ (sqrt (asin a)) 1) (/ (sqrt (asin a)) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (asin a) (cbrt a)) (/ 1 (sqrt a)) (/ (asin a) (sqrt a)) (/ 1 1) (/ (asin a) a) (/ 1 a) (/ a (asin a)) (/ (asin a) (* (cbrt a) (cbrt a))) (/ (asin a) (sqrt a)) (/ (asin a) 1) (/ a (cbrt (asin a))) (/ a (sqrt (asin a))) (/ a (asin a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (/ a (- (asin a) (* 1/2 PI))) (/ a (- (asin a) (* 1/2 PI))) (* -1 (/ a (- (* 1/2 PI) (asin a)))) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (* 1/2 PI) (asin a)) a) (* -1 (/ (- (asin a) (* 1/2 PI)) a)) (/ (asin a) a) (/ (asin a) a) (/ (asin a) a) 19.979 * * [simplify]: Extracting # 0 : cost 0 19.980 * * [simplify]: Extracting # 1 : cost 0 19.981 * * [simplify]: Extracting # 2 : cost 0 19.981 * * [simplify]: Extracting # 3 : cost 0 19.982 * * [simplify]: Extracting # 4 : cost 0 19.983 * * [simplify]: Extracting # 5 : cost 0 19.984 * * [simplify]: Extracting # 6 : cost 0 19.985 * * [simplify]: iteration 0 : 369 enodes (cost 3676 ) 20.204 * * [simplify]: Extracting # 0 : cost 0 20.206 * * [simplify]: Extracting # 1 : cost 0 20.207 * * [simplify]: Extracting # 2 : cost 0 20.208 * * [simplify]: Extracting # 3 : cost 0 20.209 * * [simplify]: Extracting # 4 : cost 0 20.211 * * [simplify]: Extracting # 5 : cost 0 20.212 * * [simplify]: iteration 1 : 849 enodes (cost 3002 ) 20.727 * * [simplify]: Extracting # 0 : cost 0 20.734 * * [simplify]: Extracting # 1 : cost 0 20.739 * * [simplify]: Extracting # 2 : cost 0 20.744 * * [simplify]: Extracting # 3 : cost 0 20.756 * * [simplify]: Extracting # 4 : cost 0 20.761 * * [simplify]: iteration 2 : 2163 enodes (cost 2642 ) 22.118 * * [simplify]: Extracting # 0 : cost 0 22.137 * * [simplify]: Extracting # 1 : cost 0 22.143 * * [simplify]: Extracting # 2 : cost 0 22.149 * * [simplify]: Extracting # 3 : cost 0 22.156 * * [simplify]: Extracting # 4 : cost 0 22.168 * * [simplify]: iteration done: 5000 enodes (cost 2493 ) 22.170 * [simplify]: Simplified to: (expm1 (/ (/ PI 2) a)) (log1p (/ (/ PI 2) a)) (/ (/ PI 2) a) (log (/ (/ PI 2) a)) (log (/ (/ PI 2) a)) (log (/ (/ PI 2) a)) (log (/ (/ PI 2) a)) (log (/ (/ PI 2) a)) (log (/ (/ PI 2) a)) (log (/ (/ PI 2) a)) (log (/ (/ PI 2) a)) (log (/ (/ PI 2) a)) (sqrt (exp 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(/ (/ (cbrt PI) (cbrt 2)) a) (/ (/ (cbrt PI) (sqrt 2)) a) (/ (/ (cbrt PI) 2) a) (/ (/ (sqrt PI) (cbrt 2)) a) (/ (/ (sqrt PI) (sqrt 2)) a) (/ (/ (sqrt PI) 2) a) (/ (/ PI a) (cbrt 2)) (/ (/ PI a) (sqrt 2)) (/ (/ PI 2) a) (/ (/ PI 2) a) (/ 1/2 a) (/ PI 2) (/ PI a) (expm1 (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a))))) (log1p (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a))))) -1 (- (log (* (/ -1 a) (- (/ PI 2) (asin a))))) (- (log (* (/ -1 a) (- (/ PI 2) (asin a))))) (- (log (* (/ -1 a) (- (/ PI 2) (asin a))))) (- (log (* (/ -1 a) (- (/ PI 2) (asin a))))) (exp (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a))))) (pow (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a)))) 3) (* (cbrt (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a))))) (cbrt (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a)))))) (cbrt (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a))))) (pow (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a)))) 3) (sqrt (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a))))) (sqrt (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a))))) -1 (* (/ 1 a) (- (/ PI 2) (asin a))) (/ 1 (* (cbrt (* (/ -1 a) (- (/ PI 2) (asin a)))) (cbrt (* (/ -1 a) (- (/ PI 2) (asin a)))))) (/ 1 (cbrt (* (/ -1 a) (- (/ PI 2) (asin a))))) (/ 1 (sqrt (* (/ -1 a) (- (/ PI 2) (asin a))))) (/ 1 (sqrt (* (/ -1 a) (- (/ PI 2) (asin a))))) 1 (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a)))) -1 (/ 1 (- (/ (/ PI 2) a) (/ (asin a) a))) (/ 1 (- (* (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))))) (/ 1 (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ 1 (- (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ 1 (sqrt (- (/ (/ PI 2) a) (/ (asin a) a)))) -1 (/ 1 (- (/ (/ PI 2) a) (/ (asin a) a))) (- a) (/ 1 (- (/ PI 2) (asin a))) (/ (/ 1 (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ 1 (- (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ 1 (sqrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ 1 (- (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))))) 1 (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a)))) a (/ 1 (- (- (/ PI 2) (asin a)))) (/ 1 (* (cbrt (* (/ -1 a) (- (/ PI 2) (asin a)))) (cbrt (* (/ -1 a) (- 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-1 a) (- (/ PI 2) (asin a))))) (/ 1 (sqrt (* (/ -1 a) (- (/ PI 2) (asin a))))) (/ 1 (sqrt (* (/ -1 a) (- (/ PI 2) (asin a))))) 1 (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a)))) -1 (/ 1 (- (/ (/ PI 2) a) (/ (asin a) a))) (/ 1 (- (* (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))))) (/ 1 (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ 1 (- (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ 1 (sqrt (- (/ (/ PI 2) a) (/ (asin a) a)))) -1 (/ 1 (- (/ (/ PI 2) a) (/ (asin a) a))) (- a) (/ 1 (- (/ PI 2) (asin a))) (/ (/ 1 (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ 1 (- (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ 1 (sqrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ 1 (- (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))))) 1 (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a)))) a (/ 1 (- (- (/ PI 2) (asin a)))) (/ 1 (* (/ -1 a) (- (/ PI 2) (asin a)))) (* (/ -1 a) (- (/ PI 2) (asin a))) (/ 1 (* (cbrt (* (/ -1 a) (- (/ PI 2) (asin a)))) (cbrt (* (/ -1 a) (- (/ 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(cbrt (- (/ (/ PI 2) a) (/ (asin a) a))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))) (pow (* (/ 1 a) (- (/ PI 2) (asin a))) 3) (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))) (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))) (- (/ PI 2) (asin a)) (- (/ PI 2) (asin a)) (* a (fma (asin a) -2 PI)) (* (* 2 a) a) (* a (- (/ PI 2) (asin a))) (* a a) (* a (- (/ PI 2) (asin a))) (* a a) (fma (asin a) -2 PI) (* 2 a) (- (pow (/ (/ PI 2) a) 3) (pow (/ (asin a) a) 3)) (fma (/ (asin a) a) (/ (asin a) a) (* (/ (/ PI 2) a) (+ (/ (asin a) a) (/ (/ PI 2) a)))) (- (/ (asin a) a)) (- (* (/ (/ PI 2) a) (/ (/ PI 2) a)) (* (/ (asin a) a) (/ (asin a) a))) (+ (/ (asin a) a) (/ (/ PI 2) a)) (- (/ PI 2) (asin a)) 0 (- (/ (asin a) a)) (expm1 (/ (asin a) a)) (log1p (/ (asin a) a)) (log (/ (asin a) a)) (log (/ (asin a) a)) (exp (/ (asin a) a)) (pow (/ (asin a) a) 3) (* (cbrt (/ (asin a) a)) (cbrt (/ (asin a) a))) (cbrt (/ (asin a) a)) (pow (/ (asin a) a) 3) (sqrt (/ (asin a) a)) (sqrt (/ (asin a) a)) (- (asin a)) (- a) (/ (/ PI 2) a) (/ (acos a) a) (/ (* (cbrt (asin a)) (cbrt (asin a))) (* (cbrt a) (cbrt a))) (/ (cbrt (asin a)) (cbrt a)) (/ (* (cbrt (asin a)) (cbrt (asin a))) (sqrt a)) (/ (cbrt (asin a)) (sqrt a)) (* (cbrt (asin a)) (cbrt (asin a))) (/ (cbrt (asin a)) a) (/ (sqrt (asin a)) (* (cbrt a) (cbrt a))) (/ (sqrt (asin a)) (cbrt a)) (/ (sqrt (asin a)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)) (sqrt (asin a)) (/ (sqrt (asin a)) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (asin a) (cbrt a)) (/ 1 (sqrt a)) (/ (asin a) (sqrt a)) 1 (/ (asin a) a) (/ 1 a) (/ a (asin a)) (/ (asin a) (* (cbrt a) (cbrt a))) (/ (asin a) (sqrt a)) (asin a) (/ a (cbrt (asin a))) (/ a (sqrt (asin a))) (/ a (asin a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (/ a (fma -1/2 PI (asin a))) (/ a (fma -1/2 PI (asin a))) (- (/ a (- (* 1/2 PI) (asin a)))) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (fma -1/2 PI (asin a))) a) (/ (asin a) a) (/ (asin a) a) (/ (asin a) a) 22.173 * * * [progress]: adding candidates to table 22.846 * [progress]: [Phase 3 of 3] Extracting. 22.847 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 22.850 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 22.850 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # # # #) 22.902 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # #) 22.939 * * * [regime]: Found split indices: #