33.303 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.018 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.019 * * [simplify]: iteration done : 4 enodes (cost 5 ) 0.019 * [simplify]: Simplified to: (/ a (- (acos a))) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.029 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.029 * [taylor]: Taking taylor expansion of -1 in a 0.029 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.029 * [taylor]: Taking taylor expansion of a in a 0.029 * [taylor]: Taking taylor expansion of (acos a) in a 0.030 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.030 * [taylor]: Taking taylor expansion of -1 in a 0.031 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.031 * [taylor]: Taking taylor expansion of a in a 0.031 * [taylor]: Taking taylor expansion of (acos a) in a 0.037 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.037 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.037 * [taylor]: Taking taylor expansion of -1 in a 0.037 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.037 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.037 * [taylor]: Taking taylor expansion of a in a 0.038 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.038 * [taylor]: Taking taylor expansion of -1 in a 0.038 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.038 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.038 * [taylor]: Taking taylor expansion of a in a 0.043 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.043 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.043 * [taylor]: Taking taylor expansion of a in a 0.043 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.044 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.044 * [taylor]: Taking taylor expansion of a in a 0.044 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.052 * * * [progress]: simplifying candidates 0.053 * [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))) 0.055 * * [simplify]: iteration 0 : 94 enodes (cost 601 ) 0.073 * * [simplify]: iteration 1 : 167 enodes (cost 571 ) 0.100 * * [simplify]: iteration 2 : 478 enodes (cost 549 ) 0.210 * * [simplify]: iteration 3 : 1470 enodes (cost 545 ) 0.923 * * [simplify]: iteration 4 : 3410 enodes (cost 544 ) 2.692 * * [simplify]: iteration done : 5000 enodes (cost 544 ) 2.692 * [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))) (/ (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)) (/ (* (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)) (/ (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)) (/ (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))) 2.692 * * * [progress]: adding candidates to table 2.788 * * [progress]: iteration 2 / 4 2.788 * * * [progress]: picking best candidate 2.802 * * * * [pick]: Picked # 2.802 * * * [progress]: localizing error 2.807 * * * [progress]: generating rewritten candidates 2.807 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.811 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.832 * * * [progress]: generating series expansions 2.832 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.832 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.832 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.832 * [taylor]: Taking taylor expansion of -1 in a 2.832 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.832 * [taylor]: Taking taylor expansion of (acos a) in a 2.832 * [taylor]: Taking taylor expansion of a in a 2.832 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.832 * [taylor]: Taking taylor expansion of -1 in a 2.832 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.832 * [taylor]: Taking taylor expansion of (acos a) in a 2.832 * [taylor]: Taking taylor expansion of a in a 2.845 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 2.845 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 2.845 * [taylor]: Taking taylor expansion of -1 in a 2.845 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.845 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.845 * [taylor]: Taking taylor expansion of a in a 2.845 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 2.845 * [taylor]: Taking taylor expansion of -1 in a 2.845 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.845 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.845 * [taylor]: Taking taylor expansion of a in a 2.861 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.861 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.861 * [taylor]: Taking taylor expansion of a in a 2.861 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.861 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.861 * [taylor]: Taking taylor expansion of a in a 2.861 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.868 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.868 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.868 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.868 * [taylor]: Taking taylor expansion of -1 in a 2.868 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.868 * [taylor]: Taking taylor expansion of a in a 2.868 * [taylor]: Taking taylor expansion of (acos a) in a 2.868 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.868 * [taylor]: Taking taylor expansion of -1 in a 2.868 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.868 * [taylor]: Taking taylor expansion of a in a 2.868 * [taylor]: Taking taylor expansion of (acos a) in a 2.875 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 2.875 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.875 * [taylor]: Taking taylor expansion of -1 in a 2.875 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.875 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.875 * [taylor]: Taking taylor expansion of a in a 2.876 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.876 * [taylor]: Taking taylor expansion of -1 in a 2.876 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.876 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.876 * [taylor]: Taking taylor expansion of a in a 2.881 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.881 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.881 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.881 * [taylor]: Taking taylor expansion of a in a 2.881 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.882 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.882 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.882 * [taylor]: Taking taylor expansion of a in a 2.882 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.891 * * * [progress]: simplifying candidates 2.894 * [simplify]: Simplifying using # : (- (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)) (/ (* (cbrt (acos a)) (cbrt (acos a))) -1) (/ (cbrt (acos 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) (/ (* (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)) (/ (sqrt (acos a)) -1) (/ (sqrt (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) (/ (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 -1) (/ (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 (* (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) (/ (acos a) -1) (/ (acos a) (- (* (cbrt a) (cbrt a)))) (/ (acos a) (- (sqrt a))) (/ (acos a) (- 1)) (/ (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) (- (- (log (acos a)) (log (- a)))) (- (log (/ (acos a) (- a)))) (- 0 (- (log (acos a)) (log (- a)))) (- 0 (log (/ (acos a) (- a)))) (- (log 1) (- (log (acos a)) (log (- a)))) (- (log 1) (log (/ (acos a) (- a)))) (log (/ 1 (/ (acos a) (- a)))) (exp (/ 1 (/ (acos a) (- a)))) (/ (* (* 1 1) 1) (/ (* (* (acos a) (acos a)) (acos a)) (* (* (- a) (- 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)) (/ (* (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)) (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 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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)) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (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)))) (/ (* (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)))) (/ -1 (* (cbrt (acos a)) (cbrt (acos 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)) (* (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))) (/ -1 (sqrt (acos a))) (/ (- (* (cbrt a) (cbrt a))) (sqrt (acos a))) (/ (- (sqrt a)) (sqrt (acos a))) (/ -1 (sqrt (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 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (* (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)) 5.026 * * * [progress]: adding candidates to table 5.266 * * [progress]: iteration 3 / 4 5.266 * * * [progress]: picking best candidate 5.281 * * * * [pick]: Picked # 5.281 * * * [progress]: localizing error 5.287 * * * [progress]: generating rewritten candidates 5.287 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.309 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.352 * * * [progress]: generating series expansions 5.352 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.352 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.352 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.352 * [taylor]: Taking taylor expansion of -1 in a 5.352 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.352 * [taylor]: Taking taylor expansion of a in a 5.352 * [taylor]: Taking taylor expansion of (acos a) in a 5.352 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.352 * [taylor]: Taking taylor expansion of -1 in a 5.352 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.352 * [taylor]: Taking taylor expansion of a in a 5.352 * [taylor]: Taking taylor expansion of (acos a) in a 5.359 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.359 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.359 * [taylor]: Taking taylor expansion of -1 in a 5.359 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.359 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.359 * [taylor]: Taking taylor expansion of a in a 5.360 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.360 * [taylor]: Taking taylor expansion of -1 in a 5.360 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.360 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.360 * [taylor]: Taking taylor expansion of a in a 5.373 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.373 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.373 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.373 * [taylor]: Taking taylor expansion of a in a 5.373 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.374 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.374 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.374 * [taylor]: Taking taylor expansion of a in a 5.374 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.382 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.382 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 5.382 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 5.382 * [taylor]: Taking taylor expansion of (acos a) in a 5.382 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 5.382 * [taylor]: Taking taylor expansion of (acos a) in a 5.384 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 5.384 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 5.384 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.384 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 5.384 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.385 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 5.385 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 5.385 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.385 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 5.385 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.387 * * * [progress]: simplifying candidates 5.396 * [simplify]: Simplifying using # : (- (- (log (acos a))) (- (log (- a)))) (- (- (log (acos a))) (- 0 (log (- a)))) (- (- (log (acos a))) (- (log 1) (log (- a)))) (- (- (log (acos a))) (log (/ 1 (- a)))) (- (- 0 (log (acos a))) (- (log (- a)))) (- (- 0 (log (acos a))) (- 0 (log (- a)))) (- (- 0 (log (acos a))) (- (log 1) (log (- a)))) (- (- 0 (log (acos a))) (log (/ 1 (- a)))) (- (- (log 1) (log (acos a))) (- (log (- a)))) (- (- (log 1) (log (acos a))) (- 0 (log (- a)))) (- (- (log 1) 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(/ (/ 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)) 6.304 * * * [progress]: adding candidates to table 6.585 * * [progress]: iteration 4 / 4 6.585 * * * [progress]: picking best candidate 6.594 * * * * [pick]: Picked # 6.594 * * * [progress]: localizing error 6.603 * * * [progress]: generating rewritten candidates 6.603 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.616 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 6.624 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.642 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 6.678 * * * [progress]: generating series expansions 6.678 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.679 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 6.679 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 6.679 * [taylor]: Taking taylor expansion of (acos a) in a 6.679 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 6.679 * [taylor]: Taking taylor expansion of (acos a) in a 6.680 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 6.680 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 6.680 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.680 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 6.680 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.682 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 6.682 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 6.682 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.682 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 6.682 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.683 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 6.683 * [approximate]: Taking taylor expansion of (pow (acos a) 3) in (a) around 0 6.683 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 6.683 * [taylor]: Taking taylor expansion of (acos a) in a 6.683 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 6.683 * [taylor]: Taking taylor expansion of (acos a) in a 6.692 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in (a) around 0 6.692 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 6.692 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.692 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 6.692 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.701 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in (a) around 0 6.701 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 6.701 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.701 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 6.701 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.709 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.710 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 6.710 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 6.710 * [taylor]: Taking taylor expansion of -1 in a 6.710 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 6.710 * [taylor]: Taking taylor expansion of a in a 6.710 * [taylor]: Taking taylor expansion of (acos a) in a 6.710 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 6.710 * [taylor]: Taking taylor expansion of -1 in a 6.710 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 6.710 * [taylor]: Taking taylor expansion of a in a 6.710 * [taylor]: Taking taylor expansion of (acos a) in a 6.723 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 6.723 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 6.723 * [taylor]: Taking taylor expansion of -1 in a 6.723 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 6.723 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.723 * [taylor]: Taking taylor expansion of a in a 6.724 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 6.724 * [taylor]: Taking taylor expansion of -1 in a 6.724 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 6.724 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.724 * [taylor]: Taking taylor expansion of a in a 6.730 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 6.730 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 6.730 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 6.730 * [taylor]: Taking taylor expansion of a in a 6.730 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.730 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 6.730 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 6.730 * [taylor]: Taking taylor expansion of a in a 6.730 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.739 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 6.739 * [approximate]: Taking taylor expansion of (pow (acos a) 2) in (a) around 0 6.739 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 6.739 * [taylor]: Taking taylor expansion of (acos a) in a 6.739 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 6.739 * [taylor]: Taking taylor expansion of (acos a) in a 6.743 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in (a) around 0 6.743 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 6.743 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.743 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 6.743 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.748 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in (a) around 0 6.748 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 6.748 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.748 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 6.748 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.752 * * * [progress]: simplifying candidates 6.760 * [simplify]: Simplifying using # : (log (cbrt (/ 1 (* (* (acos a) (acos a)) (acos a))))) (exp (cbrt (/ 1 (* (* (acos a) (acos a)) (acos a))))) (cbrt (* (cbrt (/ 1 (* (* (acos a) (acos a)) (acos a)))) (cbrt (/ 1 (* (* (acos a) (acos a)) (acos a)))))) (cbrt (cbrt (/ 1 (* (* 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(pow (acos a) 3))) (sqrt a)) (cbrt (/ 1 (pow (acos a) 3))) (* (cbrt (/ 1 (pow (acos a) 3))) (* (cbrt (- a)) (cbrt (- a)))) (* (sqrt (- a)) (cbrt (/ 1 (pow (acos a) 3)))) (cbrt (/ 1 (pow (acos a) 3))) (- (cbrt (/ 1 (pow (acos a) 3)))) (* (cbrt (/ 1 (pow (acos a) 3))) (- (* (cbrt a) (cbrt a)))) (* (- (sqrt a)) (cbrt (/ 1 (pow (acos a) 3)))) (- (cbrt (/ 1 (pow (acos a) 3)))) (* (* (cbrt (/ 1 (pow (acos a) 3))) (cbrt a)) (cbrt a)) (* (cbrt (/ 1 (pow (acos a) 3))) (sqrt a)) (cbrt (/ 1 (pow (acos a) 3))) (cbrt (/ 1 (pow (acos a) 3))) (cbrt (/ 1 (pow (acos a) 3))) (/ (/ 1 (- a)) (cbrt (cbrt (/ 1 (pow (acos a) 3))))) (/ (/ 1 (- a)) (cbrt (sqrt (/ 1 (pow (acos a) 3))))) (/ (/ 1 (- a)) (cbrt (/ 1 (acos a)))) (/ (/ 1 (- a)) (cbrt (/ 1 (acos a)))) (/ (/ 1 (- a)) (cbrt (/ 1 (acos a)))) (/ (/ 1 (- a)) (cbrt (/ 1 (pow (acos a) 3)))) (/ (/ 1 (- a)) (cbrt (/ 1 (pow (acos a) 3)))) (/ (/ 1 (- a)) (cbrt (cbrt (/ 1 (pow (acos a) 3))))) (/ (/ 1 (- a)) (sqrt (cbrt (/ 1 (pow (acos a) 3))))) (/ (/ 1 (- a)) (cbrt (/ 1 (pow (acos a) 3)))) (cbrt (/ 1 (pow (acos a) 3))) (/ (acos a) (- a)) 2 (pow (acos a) 2) 2 (* 2 (log (acos a))) (* 2 (log (acos a))) (exp (pow (acos a) 2)) (pow (acos a) 6) (* (cbrt (pow (acos a) 2)) (cbrt (pow (acos a) 2))) (cbrt (pow (acos a) 2)) (pow (acos a) 6) (fabs (acos a)) (fabs (acos a)) (* (cbrt (acos a)) (pow (cbrt (acos a)) 3)) (* (cbrt (acos a)) (cbrt (acos a))) (acos a) (acos a) 1 (pow (acos a) 2) (acos a) (acos a) 2 (* (acos a) (* (cbrt (acos a)) (cbrt (acos a)))) (pow (sqrt (acos a)) 3) (acos a) (* (cbrt (acos a)) (acos a)) (pow (sqrt (acos a)) 3) (pow (acos a) 2) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (pow (acos a) 3) (pow (acos a) 3) (pow (acos a) 3) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (pow (acos a) 2) (pow (acos a) 2) (pow (acos a) 2) 9.954 * * * [progress]: adding candidates to table 10.396 * [progress]: [Phase 3 of 3] Extracting. 10.396 * * [regime]: Finding splitpoints for: (# # # # #) 10.397 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 10.397 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # #) 10.418 * * * * [regimes]: Trying to branch on a from (# # # # #) 10.435 * * * [regime]: Found split indices: #