22.078 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.021 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.021 * * [simplify]: iteration done : 4 enodes (cost 5 ) 0.021 * [simplify]: Simplified to: (/ a (- (acos a))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [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 0.033 * [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 0.034 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.034 * [taylor]: Taking taylor expansion of -1 in a 0.034 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.034 * [taylor]: Taking taylor expansion of a in a 0.034 * [taylor]: Taking taylor expansion of (acos a) in a 0.041 * [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 0.047 * [taylor]: Taking taylor expansion of a in a 0.047 * [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 0.056 * * * [progress]: simplifying candidates 0.057 * [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))) 0.059 * * [simplify]: iteration 0 : 94 enodes (cost 601 ) 0.073 * * [simplify]: iteration 1 : 167 enodes (cost 571 ) 0.098 * * [simplify]: iteration 2 : 372 enodes (cost 553 ) 0.154 * * [simplify]: iteration 3 : 837 enodes (cost 553 ) 0.348 * * [simplify]: iteration 4 : 1705 enodes (cost 553 ) 0.945 * * [simplify]: iteration 5 : 2870 enodes (cost 548 ) 2.224 * * [simplify]: iteration done : 5000 enodes (cost 548 ) 2.225 * [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 -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))) 2.226 * * * [progress]: adding candidates to table 2.320 * * [progress]: iteration 2 / 4 2.320 * * * [progress]: picking best candidate 2.339 * * * * [pick]: Picked # 2.339 * * * [progress]: localizing error 2.345 * * * [progress]: generating rewritten candidates 2.345 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.355 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.369 * * * [progress]: generating series expansions 2.369 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.369 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.369 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.369 * [taylor]: Taking taylor expansion of -1 in a 2.369 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.369 * [taylor]: Taking taylor expansion of a in a 2.369 * [taylor]: Taking taylor expansion of (acos a) in a 2.369 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.369 * [taylor]: Taking taylor expansion of -1 in a 2.369 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.369 * [taylor]: Taking taylor expansion of a in a 2.369 * [taylor]: Taking taylor expansion of (acos a) in a 2.376 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 2.377 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.377 * [taylor]: Taking taylor expansion of -1 in a 2.377 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.377 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.377 * [taylor]: Taking taylor expansion of a in a 2.377 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.377 * [taylor]: Taking taylor expansion of -1 in a 2.377 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.377 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.377 * [taylor]: Taking taylor expansion of a in a 2.388 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.388 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.388 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.388 * [taylor]: Taking taylor expansion of a in a 2.388 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.389 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.389 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.389 * [taylor]: Taking taylor expansion of a in a 2.389 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.397 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.398 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.398 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.398 * [taylor]: Taking taylor expansion of -1 in a 2.398 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.398 * [taylor]: Taking taylor expansion of (acos a) in a 2.398 * [taylor]: Taking taylor expansion of a in a 2.398 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.398 * [taylor]: Taking taylor expansion of -1 in a 2.398 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.398 * [taylor]: Taking taylor expansion of (acos a) in a 2.398 * [taylor]: Taking taylor expansion of a in a 2.412 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 2.412 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 2.412 * [taylor]: Taking taylor expansion of -1 in a 2.412 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.412 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.412 * [taylor]: Taking taylor expansion of a in a 2.412 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 2.412 * [taylor]: Taking taylor expansion of -1 in a 2.412 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.412 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.412 * [taylor]: Taking taylor expansion of a in a 2.423 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.423 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.423 * [taylor]: Taking taylor expansion of a in a 2.423 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.423 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.423 * [taylor]: Taking taylor expansion of a in a 2.423 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.431 * * * [progress]: simplifying candidates 2.434 * [simplify]: Simplifying using # : (- 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 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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 -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)) (/ 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))) 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