8.147 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.021 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 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) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 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 0.034 * [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 0.042 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.042 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.042 * [taylor]: Taking taylor expansion of -1 in a 0.042 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.042 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.042 * [taylor]: Taking taylor expansion of a in a 0.043 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.043 * [taylor]: Taking taylor expansion of -1 in a 0.043 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.043 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.043 * [taylor]: Taking taylor expansion of a in a 0.049 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.049 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.049 * [taylor]: Taking taylor expansion of a in a 0.049 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.050 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.050 * [taylor]: Taking taylor expansion of a in a 0.050 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.060 * * * [progress]: simplifying candidates 0.061 * [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))) 0.065 * * [simplify]: iteration 0 : 166 enodes (cost 384 ) 0.069 * * [simplify]: iteration 1 : 493 enodes (cost 372 ) 0.078 * * [simplify]: iteration 2 : 1439 enodes (cost 367 ) 0.101 * * [simplify]: iteration 3 : 3705 enodes (cost 366 ) 0.161 * * [simplify]: iteration 4 : 5002 enodes (cost 366 ) 0.164 * [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)))) (* -1 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 (* -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 (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (* -1 a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (* -1 a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.165 * * * [progress]: adding candidates to table 0.238 * * [progress]: iteration 2 / 4 0.238 * * * [progress]: picking best candidate 0.256 * * * * [pick]: Picked # 0.256 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.267 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.292 * * * [progress]: generating series expansions 0.292 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.292 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.292 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.292 * [taylor]: Taking taylor expansion of -1 in a 0.292 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.292 * [taylor]: Taking taylor expansion of (acos a) in a 0.292 * [taylor]: Taking taylor expansion of a in a 0.292 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.292 * [taylor]: Taking taylor expansion of -1 in a 0.292 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.292 * [taylor]: Taking taylor expansion of (acos a) in a 0.292 * [taylor]: Taking taylor expansion of a in a 0.311 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.312 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.312 * [taylor]: Taking taylor expansion of -1 in a 0.312 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.312 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.312 * [taylor]: Taking taylor expansion of a in a 0.312 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.312 * [taylor]: Taking taylor expansion of -1 in a 0.312 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.312 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.312 * [taylor]: Taking taylor expansion of a in a 0.325 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.325 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.325 * [taylor]: Taking taylor expansion of a in a 0.325 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.325 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.325 * [taylor]: Taking taylor expansion of a in a 0.325 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.333 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.333 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.333 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.333 * [taylor]: Taking taylor expansion of -1 in a 0.333 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.333 * [taylor]: Taking taylor expansion of a in a 0.333 * [taylor]: Taking taylor expansion of (acos a) in a 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.334 * [taylor]: Taking taylor expansion of -1 in a 0.334 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.334 * [taylor]: Taking taylor expansion of a in a 0.334 * [taylor]: Taking taylor expansion of (acos a) in a 0.341 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.341 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.341 * [taylor]: Taking taylor expansion of -1 in a 0.341 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.342 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.342 * [taylor]: Taking taylor expansion of a in a 0.342 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.342 * [taylor]: Taking taylor expansion of -1 in a 0.342 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.342 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.342 * [taylor]: Taking taylor expansion of a in a 0.349 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.349 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.349 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.349 * [taylor]: Taking taylor expansion of a in a 0.349 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.350 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.350 * [taylor]: Taking taylor expansion of a in a 0.350 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.359 * * * [progress]: simplifying candidates 0.363 * [simplify]: Simplifying using # : (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) 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) (/ 0 a) (/ (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) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 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(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) 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))) (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) 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-1 (/ (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))))) (/ (* 1 (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)))) (/ (* 1 (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)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (* -1 (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* 1 (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)))) (/ (* 1 (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (* -1 (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* 1 (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))) (/ (* 1 (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)) (* -1 (/ (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))))) (/ (* (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))) (* -1 (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)))) (* -1 (* (cbrt a) (cbrt a))) (* -1 (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))) (/ 1 (acos a)) 1 (/ (* (cbrt a) (cbrt a)) (- (acos a))) (/ (sqrt a) (- (acos a))) (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 0.447 * * * [progress]: adding candidates to table 0.650 * * [progress]: iteration 3 / 4 0.650 * * * [progress]: picking best candidate 0.669 * * * * [pick]: Picked # 0.669 * * * [progress]: localizing error 0.677 * * * [progress]: generating rewritten candidates 0.677 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.682 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.859 * * * [progress]: generating series expansions 0.859 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.859 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.859 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.859 * [taylor]: Taking taylor expansion of -1 in a 0.859 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.859 * [taylor]: Taking taylor expansion of (acos a) in a 0.860 * [taylor]: Taking taylor expansion of a in a 0.860 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.860 * [taylor]: Taking taylor expansion of -1 in a 0.860 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.860 * [taylor]: Taking taylor expansion of (acos a) in a 0.860 * [taylor]: Taking taylor expansion of a in a 0.875 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.875 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.875 * [taylor]: Taking taylor expansion of -1 in a 0.875 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.875 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.875 * [taylor]: Taking taylor expansion of a in a 0.875 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.875 * [taylor]: Taking taylor expansion of -1 in a 0.875 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.875 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.875 * [taylor]: Taking taylor expansion of a in a 0.888 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.888 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.888 * [taylor]: Taking taylor expansion of a in a 0.888 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.888 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.888 * [taylor]: Taking taylor expansion of a in a 0.888 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.904 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.904 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.905 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.905 * [taylor]: Taking taylor expansion of -1 in a 0.905 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.905 * [taylor]: Taking taylor expansion of a in a 0.905 * [taylor]: Taking taylor expansion of (acos a) in a 0.905 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.905 * [taylor]: Taking taylor expansion of -1 in a 0.905 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.905 * [taylor]: Taking taylor expansion of a in a 0.905 * [taylor]: Taking taylor expansion of (acos a) in a 0.913 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.913 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.913 * [taylor]: Taking taylor expansion of -1 in a 0.913 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.913 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.913 * [taylor]: Taking taylor expansion of a in a 0.914 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.914 * [taylor]: Taking taylor expansion of -1 in a 0.914 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.914 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.914 * [taylor]: Taking taylor expansion of a in a 0.921 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.921 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.921 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.921 * [taylor]: Taking taylor expansion of a in a 0.921 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.922 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.922 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.922 * [taylor]: Taking taylor expansion of a in a 0.922 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.931 * * * [progress]: simplifying candidates 0.956 * [simplify]: Simplifying using # : (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) 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) (/ 0 a) (/ (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) (/ 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) (/ (- (* (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 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(/ (cbrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt 1))) (* (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a))) (* (* (cbrt 1) (cbrt 1)) (sqrt a)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (/ (- (acos a)) (cbrt 1))) (/ (- (acos a)) (* (cbrt 1) a)) (/ (/ (- (acos a)) a) (cbrt (* (cbrt 1) (cbrt 1)))) (/ (- (acos a)) (* (fabs (cbrt 1)) a)) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (/ (- (acos a)) a) (* (cbrt (cbrt 1)) (cbrt (cbrt 1)))) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (/ (- (acos a)) a) (* (cbrt (cbrt 1)) (cbrt (cbrt 1)))) (/ (- (acos a)) (* (cbrt 1) a)) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (* (/ (/ (acos a) a) (pow (sqrt (cbrt 1)) 3)) -1) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (* (/ (/ (acos a) a) (pow (sqrt (cbrt 1)) 3)) -1) (* (/ (/ (acos a) a) (pow (sqrt (cbrt 1)) 3)) -1) (* (/ (/ (acos a) a) (pow (sqrt (cbrt 1)) 3)) -1) (/ (- (acos a)) (* (cbrt 1) a)) (/ (/ (- (acos a)) a) (cbrt (cbrt 1))) (/ (- (acos a)) (* (cbrt 1) a)) (/ (- (acos a)) (* (cbrt 1) a)) (/ (/ (- (acos a)) a) (cbrt (cbrt 1))) (/ (/ (- (acos a)) a) (sqrt (cbrt 1))) (/ (- (acos a)) (* (cbrt 1) a)) (/ (/ (- (acos a)) a) (* (cbrt (cbrt 1)) (cbrt 1))) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (/ (- (acos a)) a) (* (cbrt (cbrt 1)) (cbrt 1))) (* (/ (/ (acos a) a) (pow (sqrt (cbrt 1)) 3)) -1) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (- (acos a)) (* (cbrt 1) a)) (/ (cbrt 1) (/ (- (acos a)) (cbrt 1))) (/ (cbrt 1) (/ (acos a) (cbrt 1))) (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt 1))) (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (cbrt 1))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt 1))) (* (cbrt 1) (cbrt 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))) 1.189 * * * [progress]: adding candidates to table 2.649 * * [progress]: iteration 4 / 4 2.649 * * * [progress]: picking best candidate 2.671 * * * * [pick]: Picked # 2.671 * * * [progress]: localizing error 2.679 * * * [progress]: generating rewritten candidates 2.679 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.886 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.781 * * * [progress]: generating series expansions 3.781 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.782 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 3.782 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.782 * [taylor]: Taking taylor expansion of -1 in a 3.782 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.782 * [taylor]: Taking taylor expansion of a in a 3.782 * [taylor]: Taking taylor expansion of (acos a) in a 3.782 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.782 * [taylor]: Taking taylor expansion of -1 in a 3.782 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.782 * [taylor]: Taking taylor expansion of a in a 3.782 * [taylor]: Taking taylor expansion of (acos a) in a 3.790 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 3.790 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.790 * [taylor]: Taking taylor expansion of -1 in a 3.790 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.790 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.791 * [taylor]: Taking taylor expansion of a in a 3.791 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.791 * [taylor]: Taking taylor expansion of -1 in a 3.791 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.791 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.791 * [taylor]: Taking taylor expansion of a in a 3.798 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 3.798 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.798 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.798 * [taylor]: Taking taylor expansion of a in a 3.798 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.798 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.798 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.798 * [taylor]: Taking taylor expansion of a in a 3.798 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.808 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.816 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 3.816 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 3.816 * [taylor]: Taking taylor expansion of -1 in a 3.816 * [taylor]: Taking taylor expansion of (acos a) in a 3.816 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 3.816 * [taylor]: Taking taylor expansion of -1 in a 3.816 * [taylor]: Taking taylor expansion of (acos a) in a 3.818 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 3.818 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 3.818 * [taylor]: Taking taylor expansion of -1 in a 3.818 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.819 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 3.819 * [taylor]: Taking taylor expansion of -1 in a 3.819 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.821 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 3.821 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 3.821 * [taylor]: Taking taylor expansion of -1 in a 3.821 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.821 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 3.821 * [taylor]: Taking taylor expansion of -1 in a 3.821 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.823 * * * [progress]: simplifying candidates 4.013 * [simplify]: Simplifying using # : (expm1 (/ (/ (cbrt 1) (/ (- (acos a)) (cbrt 1))) (/ 1 a))) (log1p (/ (/ (cbrt 1) (/ (- (acos a)) (cbrt 1))) (/ 1 a))) (- (- (log (cbrt 1)) (- (log (- (acos a))) (log (cbrt 1)))) (- (log a))) (- (- (log (cbrt 1)) (- (log (- (acos a))) (log (cbrt 1)))) (- 0 (log a))) (- (- (log (cbrt 1)) (- (log (- (acos a))) (log (cbrt 1)))) (- (log 1) (log a))) (- (- (log (cbrt 1)) (- (log (- (acos a))) (log (cbrt 1)))) (log (/ 1 a))) (- (- (log (cbrt 1)) (log (/ (- (acos a)) (cbrt 1)))) (- (log a))) (- (- (log (cbrt 1)) (log (/ (- (acos a)) (cbrt 1)))) (- 0 (log a))) (- (- (log (cbrt 1)) (log (/ (- (acos a)) (cbrt 1)))) (- (log 1) (log a))) (- (- (log (cbrt 1)) (log (/ (- (acos a)) (cbrt 1)))) (log (/ 1 a))) (- (log (/ (cbrt 1) (/ (- (acos a)) (cbrt 1)))) (- (log a))) (- (log (/ (cbrt 1) (/ (- (acos a)) (cbrt 1)))) (- 0 (log a))) (- (log (/ (cbrt 1) (/ (- (acos a)) (cbrt 1)))) (- (log 1) (log a))) (- (log (/ (cbrt 1) (/ (- (acos a)) (cbrt 1)))) (log (/ 1 a))) (log (/ (/ (cbrt 1) (/ (- (acos a)) (cbrt 1))) (/ 1 a))) (exp (/ (/ (cbrt 1) (/ (- (acos a)) (cbrt 1))) (/ 1 a))) (/ (/ 1 (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) 1)) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ 1 (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) 1)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (/ 1 (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (cbrt 1) (cbrt 1)) (cbrt 1)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ 1 (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (cbrt 1) (cbrt 1)) (cbrt 1)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (/ 1 (* (* (/ (- (acos a)) (cbrt 1)) (/ (- (acos a)) (cbrt 1))) (/ (- (acos a)) (cbrt 1)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ 1 (* (* (/ (- (acos a)) (cbrt 1)) (/ (- (acos a)) (cbrt 1))) (/ (- (acos a)) (cbrt 1)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (/ 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a)))) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt (* (cbrt 1) (cbrt 1))))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt (sqrt 1)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt 1))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (* (cbrt (cbrt 1)) (cbrt (cbrt 1))))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt (cbrt 1)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) 1)) (/ (cbrt 1) (/ (- 1) (cbrt (* (cbrt 1) (cbrt 1))))) (/ (cbrt 1) (/ (- 1) (cbrt (sqrt 1)))) (/ (cbrt 1) (/ (- 1) (cbrt 1))) (/ (cbrt 1) (/ (- 1) (* (cbrt (cbrt 1)) (cbrt (cbrt 1))))) (/ (cbrt 1) (/ (- 1) (sqrt (cbrt 1)))) (/ (cbrt 1) (/ (- 1) 1)) (/ (cbrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (cbrt (* (cbrt 1) (cbrt 1))))) (/ (cbrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (cbrt (sqrt 1)))) (/ (cbrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (cbrt 1))) (/ (cbrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (cbrt 1)) (cbrt (cbrt 1))))) (/ (cbrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt (cbrt 1)))) (/ (cbrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt (* (cbrt 1) (cbrt 1))))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt (sqrt 1)))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt 1))) (/ (cbrt 1) (/ (sqrt (acos a)) (* (cbrt (cbrt 1)) (cbrt (cbrt 1))))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt (cbrt 1)))) (/ (cbrt 1) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ 1 (cbrt (* (cbrt 1) (cbrt 1))))) (/ (cbrt 1) (/ 1 (cbrt (sqrt 1)))) (/ (cbrt 1) (/ 1 (cbrt 1))) (/ (cbrt 1) (/ 1 (* (cbrt (cbrt 1)) (cbrt (cbrt 1))))) (/ (cbrt 1) (/ 1 (sqrt (cbrt 1)))) (/ (cbrt 1) 1) (/ (cbrt 1) 1) (/ (cbrt 1) (- (acos a))) (/ (/ (- (acos a)) (cbrt 1)) (cbrt (cbrt 1))) (/ (/ (- (acos a)) (cbrt 1)) (cbrt (sqrt 1))) (/ (/ (- (acos a)) (cbrt 1)) (cbrt 1)) (/ (/ (- (acos a)) (cbrt 1)) (cbrt (cbrt 1))) (/ (/ (- (acos a)) (cbrt 1)) (sqrt (cbrt 1))) (/ (/ (- (acos a)) (cbrt 1)) (cbrt 1)) (/ (cbrt 1) (- (acos a))) (/ (cbrt 1) (- (- (acos a)))) (/ (cbrt 1) 1) (/ (cbrt 1) (/ (- (acos a)) (cbrt (* (cbrt 1) (cbrt 1))))) (/ (cbrt 1) (/ (- (acos a)) (cbrt (sqrt 1)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt 1))) (/ (cbrt 1) (/ (- (acos a)) (* (cbrt (cbrt 1)) (cbrt (cbrt 1))))) (/ (cbrt 1) (/ (- (acos a)) (sqrt (cbrt 1)))) (/ (cbrt 1) (/ (- (acos a)) 1)) (/ (cbrt 1) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt 1) (sqrt (- (acos a)))) (/ (cbrt 1) 1) (/ (cbrt 1) -1) (/ (cbrt 1) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt 1) (- (sqrt (acos a)))) (/ (cbrt 1) (- 1)) (/ (cbrt 1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt 1) (sqrt (acos a))) (/ (cbrt 1) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 5.106 * * * [progress]: adding candidates to table 23.699 * [progress]: [Phase 3 of 3] Extracting. 23.699 * * [regime]: Finding splitpoints for: (# # # # # # # #) 23.701 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 23.701 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # #) 23.735 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 23.768 * * * [regime]: Found split indices: #