20.795 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.019 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.020 * * [simplify]: iteration done : 4 enodes (cost 5 ) 0.020 * [simplify]: Simplified to: (/ a (- (acos a))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.032 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.032 * [taylor]: Taking taylor expansion of -1 in a 0.032 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.032 * [taylor]: Taking taylor expansion of a in a 0.032 * [taylor]: Taking taylor expansion of (acos a) in a 0.033 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.033 * [taylor]: Taking taylor expansion of -1 in a 0.033 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.033 * [taylor]: Taking taylor expansion of a in a 0.033 * [taylor]: Taking taylor expansion of (acos a) in a 0.040 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.041 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.041 * [taylor]: Taking taylor expansion of -1 in a 0.041 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.041 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.041 * [taylor]: Taking taylor expansion of a in a 0.041 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.041 * [taylor]: Taking taylor expansion of -1 in a 0.041 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.041 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.041 * [taylor]: Taking taylor expansion of a in a 0.047 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.047 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.048 * [taylor]: Taking taylor expansion of a in a 0.048 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.048 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.048 * [taylor]: Taking taylor expansion of a in a 0.048 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.057 * * * [progress]: simplifying candidates 0.058 * [simplify]: Simplifying using # : (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))) 0.061 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.080 * * [simplify]: iteration 1 : 169 enodes (cost 581 ) 0.111 * * [simplify]: iteration 2 : 480 enodes (cost 561 ) 0.228 * * [simplify]: iteration 3 : 1406 enodes (cost 557 ) 0.893 * * [simplify]: iteration 4 : 3300 enodes (cost 556 ) 2.851 * * [simplify]: iteration done : 5001 enodes (cost 556 ) 2.851 * [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))) (/ (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))) 2.852 * * * [progress]: adding candidates to table 2.959 * * [progress]: iteration 2 / 4 2.959 * * * [progress]: picking best candidate 2.981 * * * * [pick]: Picked # 2.981 * * * [progress]: localizing error 2.986 * * * [progress]: generating rewritten candidates 2.986 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.997 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.017 * * * [progress]: generating series expansions 3.017 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.017 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 3.017 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.017 * [taylor]: Taking taylor expansion of -1 in a 3.017 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.017 * [taylor]: Taking taylor expansion of a in a 3.017 * [taylor]: Taking taylor expansion of (acos a) in a 3.017 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.017 * [taylor]: Taking taylor expansion of -1 in a 3.017 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.017 * [taylor]: Taking taylor expansion of a in a 3.017 * [taylor]: Taking taylor expansion of (acos a) in a 3.025 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 3.025 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.025 * [taylor]: Taking taylor expansion of -1 in a 3.025 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.025 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.025 * [taylor]: Taking taylor expansion of a in a 3.026 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.026 * [taylor]: Taking taylor expansion of -1 in a 3.026 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.026 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.026 * [taylor]: Taking taylor expansion of a in a 3.032 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 3.032 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.032 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.032 * [taylor]: Taking taylor expansion of a in a 3.032 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.033 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.033 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.033 * [taylor]: Taking taylor expansion of a in a 3.033 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.042 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.042 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 3.042 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 3.042 * [taylor]: Taking taylor expansion of -1 in a 3.042 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.042 * [taylor]: Taking taylor expansion of (acos a) in a 3.042 * [taylor]: Taking taylor expansion of a in a 3.042 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 3.042 * [taylor]: Taking taylor expansion of -1 in a 3.042 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.042 * [taylor]: Taking taylor expansion of (acos a) in a 3.042 * [taylor]: Taking taylor expansion of a in a 3.057 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 3.057 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 3.057 * [taylor]: Taking taylor expansion of -1 in a 3.057 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.057 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.057 * [taylor]: Taking taylor expansion of a in a 3.057 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 3.057 * [taylor]: Taking taylor expansion of -1 in a 3.057 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.057 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.057 * [taylor]: Taking taylor expansion of a in a 3.069 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 3.069 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.069 * [taylor]: Taking taylor expansion of a in a 3.069 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.069 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.069 * [taylor]: Taking taylor expansion of a in a 3.069 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.077 * * * [progress]: simplifying candidates 3.081 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) 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)) (/ (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 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)) (/ (- (* (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)) (/ (* (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) 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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) 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))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 3.090 * * [simplify]: iteration 0 : 292 enodes (cost 3194 ) 3.144 * * [simplify]: iteration 1 : 674 enodes (cost 2774 ) 3.344 * * [simplify]: iteration 2 : 2302 enodes (cost 2325 ) 4.855 * * [simplify]: iteration done : 5000 enodes (cost 2314 ) 4.857 * [simplify]: Simplified to: (expm1 (- (/ a (acos a)))) (log1p (- (/ a (acos a)))) -1 (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos 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(cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ (* (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)) (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 (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt 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 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (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)))) (/ (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) (/ (* (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))) (- (/ (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) 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 (cbrt (acos a))) (/ a (sqrt (acos a))) (/ 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) 4.858 * * * [progress]: adding candidates to table 5.139 * * [progress]: iteration 3 / 4 5.139 * * * [progress]: picking best candidate 5.162 * * * * [pick]: Picked # 5.162 * * * [progress]: localizing error 5.169 * * * [progress]: generating rewritten candidates 5.169 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 5.181 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.194 * * * [progress]: generating series expansions 5.194 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 5.195 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 5.195 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 5.195 * [taylor]: Taking taylor expansion of -1 in a 5.195 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.195 * [taylor]: Taking taylor expansion of (acos a) in a 5.195 * [taylor]: Taking taylor expansion of a in a 5.195 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 5.195 * [taylor]: Taking taylor expansion of -1 in a 5.195 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.195 * [taylor]: Taking taylor expansion of (acos a) in a 5.195 * [taylor]: Taking taylor expansion of a in a 5.210 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.210 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 5.210 * [taylor]: Taking taylor expansion of -1 in a 5.210 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.210 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.210 * [taylor]: Taking taylor expansion of a in a 5.210 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 5.210 * [taylor]: Taking taylor expansion of -1 in a 5.210 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.210 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.210 * [taylor]: Taking taylor expansion of a in a 5.222 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 5.222 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.223 * [taylor]: Taking taylor expansion of a in a 5.223 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.223 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.223 * [taylor]: Taking taylor expansion of a in a 5.223 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.230 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.230 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.231 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.231 * [taylor]: Taking taylor expansion of -1 in a 5.231 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.231 * [taylor]: Taking taylor expansion of a in a 5.231 * [taylor]: Taking taylor expansion of (acos a) in a 5.231 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.231 * [taylor]: Taking taylor expansion of -1 in a 5.231 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.231 * [taylor]: Taking taylor expansion of a in a 5.231 * [taylor]: Taking taylor expansion of (acos a) in a 5.238 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.239 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.239 * [taylor]: Taking taylor expansion of -1 in a 5.239 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.239 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.239 * [taylor]: Taking taylor expansion of a in a 5.242 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.242 * [taylor]: Taking taylor expansion of -1 in a 5.242 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.242 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.243 * [taylor]: Taking taylor expansion of a in a 5.249 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.249 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.249 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.249 * [taylor]: Taking taylor expansion of a in a 5.249 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.250 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.250 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.250 * [taylor]: Taking taylor expansion of a in a 5.250 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.259 * * * [progress]: simplifying candidates 5.260 * [simplify]: Simplifying using # : (expm1 (* (- (acos a)) (/ 1 a))) (log1p (* (- (acos a)) (/ 1 a))) (* (- (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))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- 1) (- (+ (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)))) (- 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)))) (- 0 (log (* (- (acos a)) (/ 1 a)))) (- (log 1) (+ (log (- (acos a))) (- (log a)))) (- (log 1) (+ (log (- (acos a))) (- 0 (log a)))) (- (log 1) (+ (log (- (acos a))) (- (log 1) (log a)))) (- (log 1) (+ (log (- (acos a))) (log (/ 1 a)))) (- (log 1) (log (* (- (acos a)) (/ 1 a)))) (log (/ 1 (* (- (acos a)) (/ 1 a)))) (exp (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos 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) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 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)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 5.264 * * [simplify]: iteration 0 : 129 enodes (cost 968 ) 5.289 * * [simplify]: iteration 1 : 363 enodes (cost 741 ) 5.390 * * [simplify]: iteration 2 : 1294 enodes (cost 559 ) 6.528 * * [simplify]: iteration 3 : 3276 enodes (cost 553 ) 8.635 * * [simplify]: iteration done : 5000 enodes (cost 553 ) 8.635 * [simplify]: Simplified to: (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (/ (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) 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) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (/ (- (cbrt (acos a))) a) (/ (- (sqrt (acos a))) a) (- (/ (acos a) a)) (- (acos a)) (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) -1 -1 (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (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) (pow (/ a (- (acos a))) 3) (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 (acos a)) a (/ -1 (acos a)) a (/ -1 (acos a)) a (- (/ a (acos a))) (- (/ (acos a) 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))) 8.636 * * * [progress]: adding candidates to table 8.753 * * [progress]: iteration 4 / 4 8.753 * * * [progress]: picking best candidate 8.775 * * * * [pick]: Picked # 8.775 * * * [progress]: localizing error 8.781 * * * [progress]: generating rewritten candidates 8.781 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.793 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.810 * * * [progress]: generating series expansions 8.810 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.811 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 8.811 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.811 * [taylor]: Taking taylor expansion of -1 in a 8.811 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.811 * [taylor]: Taking taylor expansion of a in a 8.811 * [taylor]: Taking taylor expansion of (acos a) in a 8.811 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.811 * [taylor]: Taking taylor expansion of -1 in a 8.811 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.811 * [taylor]: Taking taylor expansion of a in a 8.811 * [taylor]: Taking taylor expansion of (acos a) in a 8.819 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 8.819 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 8.819 * [taylor]: Taking taylor expansion of -1 in a 8.819 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.819 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.819 * [taylor]: Taking taylor expansion of a in a 8.820 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 8.820 * [taylor]: Taking taylor expansion of -1 in a 8.820 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.820 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.820 * [taylor]: Taking taylor expansion of a in a 8.826 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 8.826 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.826 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.826 * [taylor]: Taking taylor expansion of a in a 8.826 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.827 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.827 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.827 * [taylor]: Taking taylor expansion of a in a 8.827 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.836 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 8.837 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 8.837 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 8.837 * [taylor]: Taking taylor expansion of -1 in a 8.837 * [taylor]: Taking taylor expansion of (acos a) in a 8.837 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 8.837 * [taylor]: Taking taylor expansion of -1 in a 8.837 * [taylor]: Taking taylor expansion of (acos a) in a 8.838 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 8.838 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 8.838 * [taylor]: Taking taylor expansion of -1 in a 8.838 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.838 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 8.838 * [taylor]: Taking taylor expansion of -1 in a 8.838 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.840 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 8.840 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 8.840 * [taylor]: Taking taylor expansion of -1 in a 8.840 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.840 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 8.840 * [taylor]: Taking taylor expansion of -1 in a 8.840 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.842 * * * [progress]: simplifying candidates 8.851 * [simplify]: Simplifying using # : (expm1 (/ (/ -1 (acos a)) (/ 1 a))) (log1p (/ (/ -1 (acos a)) (/ 1 a))) (- (- (log -1) (log (acos a))) (- (log a))) (- (- (log -1) (log (acos a))) (- 0 (log a))) (- (- (log -1) (log (acos a))) (- (log 1) (log a))) (- (- (log -1) (log (acos a))) (log (/ 1 a))) (- (log (/ -1 (acos a))) (- (log a))) (- (log (/ -1 (acos a))) (- 0 (log a))) (- (log (/ -1 (acos a))) (- (log 1) (log 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 1) 1) (* (* a a) 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 1) 1) (* (* a a) 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 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(* (sqrt -1) (* (cbrt a) (cbrt a))) (* (/ (sqrt -1) (acos a)) (cbrt a)) (* (sqrt a) (sqrt -1)) (* (/ (sqrt -1) (acos a)) (sqrt a)) (sqrt -1) (* (/ (sqrt -1) (acos a)) a) (sqrt -1) (* (/ (sqrt -1) (acos a)) a) (sqrt -1) (* (/ (sqrt -1) (acos a)) a) (/ (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ -1 (cbrt (acos a))) (cbrt (/ 1 a))) (/ (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt (/ 1 a))) (/ (/ -1 (cbrt (acos a))) (sqrt (/ 1 a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ -1 (cbrt (acos a))) (cbrt 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)) (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ -1 (cbrt (acos a))) (cbrt 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)) (* 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(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))) (/ 1 (sqrt (acos a))) (/ (- a) (sqrt (acos a))) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ -1 (acos a)) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ -1 (acos a)) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (- (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (- (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (- (sqrt a)) (acos a)) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ -1 (acos a)) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ -1 (acos a)) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (- (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (- (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (- (sqrt a)) (acos a)) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ -1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (acos a)) (cbrt (/ 1 a))) (/ -1 (sqrt (/ 1 a))) (/ (/ 1 (acos a)) (sqrt (/ 1 a))) (- (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (- (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (- (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) a (/ (/ (acos a) a) -1) (/ (/ -1 (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ -1 (acos a)) (sqrt (/ 1 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 (acos a)) (/ (- (* (cbrt a) (cbrt a))) (acos a)) (/ (- (sqrt a)) (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ (/ 1 a) (cbrt (/ -1 (acos a)))) (/ (/ 1 a) (sqrt (/ -1 (acos a)))) (/ (/ 1 a) (/ (cbrt -1) (cbrt (acos a)))) (/ (/ (sqrt (acos a)) a) (cbrt -1)) (/ (/ (acos a) a) (cbrt -1)) (/ (/ 1 a) (/ (sqrt -1) (cbrt (acos a)))) (/ (/ (sqrt (acos a)) a) (sqrt -1)) (/ (/ (acos a) a) (sqrt -1)) (* (/ 1 (- a)) (cbrt (acos a))) (/ (/ (sqrt (acos a)) a) -1) (/ (/ (acos a) a) -1) (/ (/ (acos a) a) -1) (/ (acos a) a) (/ -1 (acos a)) (/ (acos a) a) (expm1 (/ -1 (acos a))) (log1p (/ -1 (acos a))) (log (/ -1 (acos a))) (log (/ -1 (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)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt -1) (cbrt (acos a))) (/ (cbrt -1) (/ (sqrt (acos a)) (cbrt -1))) (/ (cbrt -1) (sqrt (acos a))) (* (cbrt -1) (cbrt -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) (/ (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 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (sqrt (acos a))) -1 (/ (acos a) (cbrt -1)) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 12.329 * * * [progress]: adding candidates to table 12.661 * [progress]: [Phase 3 of 3] Extracting. 12.661 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 12.662 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 12.662 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # #) 12.696 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 12.725 * * * [regime]: Found split indices: #