14.642 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.023 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.024 * * [simplify]: iteration done : 4 enodes (cost 5 ) 0.024 * [simplify]: Simplified to: (/ a (- (acos a))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.037 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.037 * [taylor]: Taking taylor expansion of -1 in a 0.037 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.037 * [taylor]: Taking taylor expansion of a in a 0.037 * [taylor]: Taking taylor expansion of (acos a) in a 0.037 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.037 * [taylor]: Taking taylor expansion of -1 in a 0.037 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.037 * [taylor]: Taking taylor expansion of a in a 0.037 * [taylor]: Taking taylor expansion of (acos a) in a 0.046 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.046 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.046 * [taylor]: Taking taylor expansion of -1 in a 0.046 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.046 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.046 * [taylor]: Taking taylor expansion of a in a 0.046 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.046 * [taylor]: Taking taylor expansion of -1 in a 0.046 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.046 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.046 * [taylor]: Taking taylor expansion of a in a 0.053 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.053 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.053 * [taylor]: Taking taylor expansion of a in a 0.053 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.054 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.054 * [taylor]: Taking taylor expansion of a in a 0.054 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.064 * * * [progress]: simplifying candidates 0.065 * [simplify]: Simplifying using # : (- (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))) 0.067 * * [simplify]: iteration 0 : 94 enodes (cost 601 ) 0.086 * * [simplify]: iteration 1 : 164 enodes (cost 569 ) 0.119 * * [simplify]: iteration 2 : 328 enodes (cost 551 ) 0.215 * * [simplify]: iteration 3 : 713 enodes (cost 551 ) 0.511 * * [simplify]: iteration 4 : 1237 enodes (cost 551 ) 1.329 * * [simplify]: iteration 5 : 2175 enodes (cost 546 ) 2.976 * * [simplify]: iteration done : 5001 enodes (cost 546 ) 2.976 * [simplify]: Simplified to: (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))) 2.977 * * * [progress]: adding candidates to table 3.077 * * [progress]: iteration 2 / 4 3.078 * * * [progress]: picking best candidate 3.095 * * * * [pick]: Picked # 3.095 * * * [progress]: localizing error 3.100 * * * [progress]: generating rewritten candidates 3.101 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.111 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 3.123 * * * [progress]: generating series expansions 3.123 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.123 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 3.123 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.123 * [taylor]: Taking taylor expansion of -1 in a 3.123 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.123 * [taylor]: Taking taylor expansion of a in a 3.123 * [taylor]: Taking taylor expansion of (acos a) in a 3.124 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.124 * [taylor]: Taking taylor expansion of -1 in a 3.124 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.124 * [taylor]: Taking taylor expansion of a in a 3.124 * [taylor]: Taking taylor expansion of (acos a) in a 3.131 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 3.131 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.131 * [taylor]: Taking taylor expansion of -1 in a 3.131 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.131 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.131 * [taylor]: Taking taylor expansion of a in a 3.132 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.132 * [taylor]: Taking taylor expansion of -1 in a 3.132 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.132 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.132 * [taylor]: Taking taylor expansion of a in a 3.138 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 3.139 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.139 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.139 * [taylor]: Taking taylor expansion of a in a 3.139 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.139 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.139 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.139 * [taylor]: Taking taylor expansion of a in a 3.139 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.148 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 3.148 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 3.148 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.148 * [taylor]: Taking taylor expansion of (acos a) in a 3.149 * [taylor]: Taking taylor expansion of a in a 3.149 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.149 * [taylor]: Taking taylor expansion of (acos a) in a 3.149 * [taylor]: Taking taylor expansion of a in a 3.157 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 3.157 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.157 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.157 * [taylor]: Taking taylor expansion of a in a 3.157 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.158 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.158 * [taylor]: Taking taylor expansion of a in a 3.162 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 3.162 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 3.162 * [taylor]: Taking taylor expansion of -1 in a 3.162 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.162 * [taylor]: Taking taylor expansion of a in a 3.162 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.162 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 3.162 * [taylor]: Taking taylor expansion of -1 in a 3.162 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.162 * [taylor]: Taking taylor expansion of a in a 3.162 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.182 * * * [progress]: simplifying candidates 3.184 * [simplify]: Simplifying using # : (- 1) (- (log (- (/ (acos a) a)))) (- 0 (log (- (/ (acos a) a)))) (- (log 1) (log (- (/ (acos a) a)))) (log (/ 1 (- (/ (acos a) a)))) (exp (/ 1 (- (/ (acos a) a)))) (/ (* (* 1 1) 1) (* (* (- (/ (acos a) a)) (- (/ (acos a) a))) (- (/ (acos a) a)))) (* (cbrt (/ 1 (- (/ (acos a) a)))) (cbrt (/ 1 (- (/ (acos a) a))))) (cbrt (/ 1 (- (/ (acos a) a)))) (* (* (/ 1 (- (/ (acos a) a))) (/ 1 (- (/ (acos a) a)))) (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) (- 1) (- (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ (cbrt 1) (cbrt (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (/ (acos a) a)))) (/ (cbrt 1) (sqrt (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (cbrt 1) (cbrt (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (/ (acos a) a)))) (/ (cbrt 1) (sqrt (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) 1))) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (sqrt a)))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 1))) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ (cbrt 1) (- (cbrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (acos a) a))) (/ (cbrt 1) (- (sqrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (- (/ (cbrt (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (- (/ (sqrt (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (acos a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (- (/ (acos a) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (- (/ 1 a))) (/ (sqrt 1) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ (sqrt 1) (cbrt (- (/ (acos a) a)))) (/ (sqrt 1) (sqrt (- (/ (acos a) a)))) (/ (sqrt 1) (sqrt (- (/ (acos a) a)))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (/ (acos a) a))) (/ (sqrt 1) -1) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (sqrt 1) (cbrt (/ (acos a) a))) (/ (sqrt 1) (- (sqrt (/ (acos a) a)))) (/ (sqrt 1) (sqrt (/ (acos a) a))) (/ (sqrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (sqrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (sqrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (- (/ (sqrt (acos a)) 1))) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (- (/ 1 (sqrt a)))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (- (/ 1 1))) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (- 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ (sqrt 1) (- (cbrt (/ (acos a) a)))) (/ (sqrt 1) (sqrt (/ (acos a) a))) (/ (sqrt 1) (- (sqrt (/ (acos a) a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (- (/ (cbrt (acos a)) (cbrt a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (- (/ (cbrt (acos a)) (sqrt a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (- (/ (cbrt (acos a)) a))) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (- (/ (sqrt (acos a)) a))) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (- (/ (acos a) (cbrt a)))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (- (/ (acos a) (sqrt a)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (- (/ (acos a) a))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (/ (acos a) a))) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (- (/ 1 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 1) (/ 1 (- (/ (acos a) a))) (/ 1 -1) (/ 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 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ 1 (/ (cbrt 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(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))) (- (log (acos a)) (log a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (/ (* (* (acos a) (acos a)) (acos a)) (* (* a a) a)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a)) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ (/ PI 2) a) (/ (asin a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (cbrt (acos a)) a) (/ (sqrt (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) (/ 1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ 1 (sqrt a)) (/ (acos a) (sqrt a)) (/ 1 1) (/ (acos a) a) (/ 1 a) (/ a (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (/ (acos a) 1) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 3.191 * * [simplify]: iteration 0 : 261 enodes (cost 2383 ) 3.504 * * [simplify]: iteration 1 : 483 enodes (cost 1978 ) 3.561 * * [simplify]: iteration 2 : 785 enodes (cost 1835 ) 3.955 * * [simplify]: iteration 3 : 1708 enodes (cost 1689 ) 4.959 * * [simplify]: iteration 4 : 3454 enodes (cost 1689 ) 6.939 * * [simplify]: iteration done : 5001 enodes (cost 1689 ) 6.940 * [simplify]: Simplified to: -1 (log (/ a (- (acos a)))) (log (/ 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)))) -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 (acos a))) (- (/ (cbrt (acos a)) (cbrt 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 (acos a))) (- (/ (cbrt (acos a)) (cbrt 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 (acos a))) (- (/ (cbrt (acos a)) (cbrt 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 (acos a))) (- (/ (cbrt (acos a)) (cbrt 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))) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ (/ PI 2) a) (/ (asin a) a) (/ (cbrt (acos 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)) (cbrt (acos a))) (/ (cbrt (acos a)) a) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (/ (sqrt (acos a)) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (sqrt (acos a)) (/ (sqrt (acos a)) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ 1 (sqrt a)) (/ (acos a) (sqrt a)) 1 (/ (acos a) a) (/ 1 a) (/ a (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 6.941 * * * [progress]: adding candidates to table 7.149 * * [progress]: iteration 3 / 4 7.149 * * * [progress]: picking best candidate 7.166 * * * * [pick]: Picked # 7.166 * * * [progress]: localizing error 7.172 * * * [progress]: generating rewritten candidates 7.172 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.192 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 7.242 * * * [progress]: generating series expansions 7.243 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.243 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 7.243 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.243 * [taylor]: Taking taylor expansion of -1 in a 7.243 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.243 * [taylor]: Taking taylor expansion of a in a 7.243 * [taylor]: Taking taylor expansion of (acos a) in a 7.243 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.243 * [taylor]: Taking taylor expansion of -1 in a 7.243 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.243 * [taylor]: Taking taylor expansion of a in a 7.243 * [taylor]: Taking taylor expansion of (acos a) in a 7.251 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 7.251 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 7.251 * [taylor]: Taking taylor expansion of -1 in a 7.251 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.251 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.251 * [taylor]: Taking taylor expansion of a in a 7.252 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 7.252 * [taylor]: Taking taylor expansion of -1 in a 7.252 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.252 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.252 * [taylor]: Taking taylor expansion of a in a 7.259 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 7.259 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.259 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.259 * [taylor]: Taking taylor expansion of a in a 7.259 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.260 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.260 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.260 * [taylor]: Taking taylor expansion of a in a 7.260 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.269 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 7.269 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 7.269 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 7.269 * [taylor]: Taking taylor expansion of (acos a) in a 7.269 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 7.269 * [taylor]: Taking taylor expansion of (acos a) in a 7.270 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 7.271 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 7.271 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.271 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 7.271 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.272 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 7.272 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 7.272 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.273 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 7.273 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.274 * * * [progress]: simplifying candidates 7.283 * [simplify]: Simplifying using # : (- (- (log (acos a))) (log (- (/ 1 a)))) (- (- 0 (log (acos a))) (log (- (/ 1 a)))) (- (- (log 1) (log (acos a))) (log (- (/ 1 a)))) (- (log (/ 1 (acos a))) (log (- (/ 1 a)))) (log (/ (/ 1 (acos a)) (- (/ 1 a)))) (exp (/ (/ 1 (acos a)) (- (/ 1 a)))) (/ (/ (* (* 1 1) 1) (* (* (acos a) (acos a)) (acos a))) (* (* (- (/ 1 a)) (- (/ 1 a))) (- (/ 1 a)))) (/ (* (* (/ 1 (acos a)) (/ 1 (acos a))) (/ 1 (acos a))) (* (* (- (/ 1 a)) (- (/ 1 a))) (- (/ 1 a)))) (* (cbrt (/ (/ 1 (acos a)) (- (/ 1 a)))) (cbrt (/ (/ 1 (acos a)) (- (/ 1 a))))) (cbrt (/ (/ 1 (acos a)) (- (/ 1 a)))) (* (* (/ (/ 1 (acos a)) (- (/ 1 a))) (/ (/ 1 (acos a)) (- (/ 1 a)))) (/ (/ 1 (acos a)) (- (/ 1 a)))) (sqrt (/ (/ 1 (acos a)) (- (/ 1 a)))) (sqrt (/ (/ 1 (acos a)) (- (/ 1 a)))) (- (/ 1 (acos a))) (- (- (/ 1 a))) (/ (* (cbrt (/ 1 (acos 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a)))) (/ (cbrt 1) (cbrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (acos a))) (/ (cbrt 1) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (acos a)) (/ (sqrt 1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt 1) (cbrt (acos a))) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) 1) (/ (sqrt 1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 1) (/ 1 (acos a)) (/ 1 (acos a)) (/ (acos a) 1) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 1) (/ (acos a) (cbrt 1)) (/ (acos a) (sqrt 1)) (/ (acos a) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) 7.319 * * [simplify]: iteration 0 : 709 enodes (cost 10289 ) 8.103 * * [simplify]: iteration 1 : 1828 enodes (cost 7575 ) 8.535 * * [simplify]: iteration 2 : 2998 enodes (cost 6656 ) 9.039 * * [simplify]: iteration done : 5001 enodes (cost 6638 ) 9.043 * [simplify]: 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a)) a) (* (/ -1 a) (cbrt (acos a))) (- (/ (sqrt (acos a)) a)) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ -1 (acos a)) (/ (- (acos a)) a) -1 (- (log (acos a))) (- (log (acos a))) (- (log (acos a))) (- (log (acos a))) (exp (/ 1 (acos a))) (/ 1 (pow (acos a) 3)) (* (cbrt (/ 1 (acos a))) (cbrt (/ 1 (acos a)))) (cbrt (/ 1 (acos a))) (/ 1 (pow (acos a) 3)) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) -1 (- (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ 1 (acos a)) (acos a) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (acos a) (acos a) (acos a) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) 9.047 * * * [progress]: adding candidates to table 9.382 * * [progress]: iteration 4 / 4 9.382 * * * [progress]: picking best candidate 9.392 * * * * [pick]: Picked # 9.392 * * * [progress]: localizing error 9.402 * * * [progress]: generating rewritten candidates 9.402 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 9.410 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 9.417 * * * [progress]: generating series expansions 9.417 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 9.417 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 9.417 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 9.417 * [taylor]: Taking taylor expansion of (acos a) in a 9.417 * [taylor]: Taking taylor expansion of a in a 9.418 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 9.418 * [taylor]: Taking taylor expansion of (acos a) in a 9.418 * [taylor]: Taking taylor expansion of a in a 9.426 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 9.427 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 9.427 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.427 * [taylor]: Taking taylor expansion of a in a 9.427 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 9.427 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.427 * [taylor]: Taking taylor expansion of a in a 9.431 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 9.432 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 9.432 * [taylor]: Taking taylor expansion of -1 in a 9.432 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.432 * [taylor]: Taking taylor expansion of a in a 9.432 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.432 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 9.432 * [taylor]: Taking taylor expansion of -1 in a 9.432 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.432 * [taylor]: Taking taylor expansion of a in a 9.432 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.447 * * * * [progress]: [ 2 / 2 ] generating series at (2) 9.447 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 9.447 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 9.447 * [taylor]: Taking taylor expansion of -1 in a 9.447 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 9.447 * [taylor]: Taking taylor expansion of a in a 9.447 * [taylor]: Taking taylor expansion of (acos a) in a 9.447 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 9.447 * [taylor]: Taking taylor expansion of -1 in a 9.447 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 9.447 * [taylor]: Taking taylor expansion of a in a 9.447 * [taylor]: Taking taylor expansion of (acos a) in a 9.455 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 9.455 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 9.455 * [taylor]: Taking taylor expansion of -1 in a 9.455 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 9.455 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.455 * [taylor]: Taking taylor expansion of a in a 9.456 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 9.456 * [taylor]: Taking taylor expansion of -1 in a 9.456 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 9.456 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.456 * [taylor]: Taking taylor expansion of a in a 9.463 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 9.463 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 9.463 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.463 * [taylor]: Taking taylor expansion of a in a 9.463 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.463 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 9.463 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.463 * [taylor]: Taking taylor expansion of a in a 9.463 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.473 * * * [progress]: simplifying candidates 9.474 * [simplify]: Simplifying using # : (* (acos a) (/ 1 a)) (+ (log (acos a)) (- (log a))) (+ (log (acos a)) (- 0 (log a))) (+ (log (acos a)) (- (log 1) (log a))) (+ (log (acos a)) (log (/ 1 a))) (log (* (acos a) (/ 1 a))) (exp (* (acos a) (/ 1 a))) (* (* (* (acos a) (acos a)) (acos a)) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (acos a) (acos a)) (acos a)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (acos a) (/ 1 a))) (cbrt (* (acos a) (/ 1 a)))) (cbrt (* (acos a) (/ 1 a))) (* (* (* (acos a) (/ 1 a)) (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* 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(sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (* (acos a) (/ 1 a)))) (/ (sqrt 1) -1) (/ (sqrt 1) (* (acos a) (/ 1 a))) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (- (/ 1 a))) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (cbrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 -1) (/ 1 (* (acos a) (/ 1 a))) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (acos a)) (/ 1 (- (/ 1 a))) (/ 1 (- (* (acos a) (/ 1 a)))) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 -1) (/ 1 (- (acos a))) (/ 1 (acos a)) (/ (- (* (acos a) (/ 1 a))) (cbrt 1)) (/ (- (* (acos a) (/ 1 a))) (sqrt 1)) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (- (acos a))) (/ 1 (- (* (acos a) 1))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 9.478 * * [simplify]: iteration 0 : 134 enodes (cost 955 ) 9.525 * * [simplify]: iteration 1 : 293 enodes (cost 674 ) 9.584 * * [simplify]: iteration 2 : 658 enodes (cost 593 ) 10.434 * * [simplify]: iteration 3 : 2316 enodes (cost 559 ) 12.922 * * [simplify]: iteration done : 5000 enodes (cost 559 ) 12.923 * [simplify]: Simplified to: (/ (acos a) a) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (* (acos a) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (acos a) (sqrt (/ 1 a))) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (acos a) (acos a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (acos a) -1 (log (- (/ a (acos a)))) (log (- (/ 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)))) -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 (acos a)) 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 (acos a)) 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 (acos a)) 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 (acos a)) (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 12.923 * * * [progress]: adding candidates to table 13.042 * [progress]: [Phase 3 of 3] Extracting. 13.042 * * [regime]: Finding splitpoints for: (# # # # # #) 13.043 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 13.043 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # #) 13.068 * * * * [regimes]: Trying to branch on a from (# # # # # #) 13.090 * * * [regime]: Found split indices: #