13.677 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.020 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (/ a (- (acos a))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.031 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.031 * [taylor]: Taking taylor expansion of -1 in a 0.031 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.031 * [taylor]: Taking taylor expansion of a in a 0.031 * [taylor]: Taking taylor expansion of (acos a) in a 0.032 * [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 0.039 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.039 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.039 * [taylor]: Taking taylor expansion of -1 in a 0.039 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.039 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.039 * [taylor]: Taking taylor expansion of a in a 0.039 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.039 * [taylor]: Taking taylor expansion of -1 in a 0.039 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.039 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.039 * [taylor]: Taking taylor expansion of a in a 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.045 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.045 * [taylor]: Taking taylor expansion of a in a 0.045 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.046 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.046 * [taylor]: Taking taylor expansion of a in a 0.046 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.054 * * * [progress]: simplifying candidates 0.055 * [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))) 0.058 * * [simplify]: iteration 0 : 164 enodes (cost 376 ) 0.061 * * [simplify]: iteration 1 : 491 enodes (cost 364 ) 0.068 * * [simplify]: iteration 2 : 1440 enodes (cost 359 ) 0.086 * * [simplify]: iteration 3 : 3702 enodes (cost 358 ) 0.138 * * [simplify]: iteration 4 : 5001 enodes (cost 358 ) 0.139 * [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)))) (* -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))) 0.140 * * * [progress]: adding candidates to table 0.236 * * [progress]: iteration 2 / 4 0.236 * * * [progress]: picking best candidate 0.250 * * * * [pick]: Picked # 0.250 * * * [progress]: localizing error 0.256 * * * [progress]: generating rewritten candidates 0.256 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.265 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.281 * * * [progress]: generating series expansions 0.281 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.281 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.281 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.282 * [taylor]: Taking taylor expansion of -1 in a 0.282 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.282 * [taylor]: Taking taylor expansion of a in a 0.282 * [taylor]: Taking taylor expansion of (acos a) in a 0.282 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.282 * [taylor]: Taking taylor expansion of -1 in a 0.282 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.282 * [taylor]: Taking taylor expansion of a in a 0.282 * [taylor]: Taking taylor expansion of (acos a) in a 0.295 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.295 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.295 * [taylor]: Taking taylor expansion of -1 in a 0.295 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.295 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.295 * [taylor]: Taking taylor expansion of a in a 0.295 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.295 * [taylor]: Taking taylor expansion of -1 in a 0.295 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.295 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.295 * [taylor]: Taking taylor expansion of a in a 0.301 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.301 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.301 * [taylor]: Taking taylor expansion of a in a 0.301 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.302 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.302 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.302 * [taylor]: Taking taylor expansion of a in a 0.302 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.311 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.311 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.311 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.311 * [taylor]: Taking taylor expansion of -1 in a 0.311 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.311 * [taylor]: Taking taylor expansion of (acos a) in a 0.311 * [taylor]: Taking taylor expansion of a in a 0.311 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.311 * [taylor]: Taking taylor expansion of -1 in a 0.311 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.311 * [taylor]: Taking taylor expansion of (acos a) in a 0.311 * [taylor]: Taking taylor expansion of a in a 0.324 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.324 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.324 * [taylor]: Taking taylor expansion of -1 in a 0.324 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.324 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.324 * [taylor]: Taking taylor expansion of a in a 0.324 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.324 * [taylor]: Taking taylor expansion of -1 in a 0.324 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.324 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.325 * [taylor]: Taking taylor expansion of a in a 0.336 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.336 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.336 * [taylor]: Taking taylor expansion of a in a 0.336 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.336 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.336 * [taylor]: Taking taylor expansion of a in a 0.336 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.344 * * * [progress]: simplifying candidates 0.347 * [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 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) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (sqrt 1) (cbrt (/ (- (acos a)) a))) (/ 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(cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (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 (* (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) 0.408 * * * [progress]: adding candidates to table 0.679 * * [progress]: iteration 3 / 4 0.679 * * * [progress]: picking best candidate 0.707 * * * * [pick]: Picked # 0.707 * * * [progress]: localizing error 0.717 * * * [progress]: generating rewritten candidates 0.717 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.728 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.741 * * * [progress]: generating series expansions 0.741 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.741 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.741 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.741 * [taylor]: Taking taylor expansion of -1 in a 0.741 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.741 * [taylor]: Taking taylor expansion of (acos a) in a 0.741 * [taylor]: Taking taylor expansion of a in a 0.741 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.741 * [taylor]: Taking taylor expansion of -1 in a 0.741 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.741 * [taylor]: Taking taylor expansion of (acos a) in a 0.741 * [taylor]: Taking taylor expansion of a in a 0.755 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.755 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.755 * [taylor]: Taking taylor expansion of -1 in a 0.755 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.755 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.755 * [taylor]: Taking taylor expansion of a in a 0.755 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.755 * [taylor]: Taking taylor expansion of -1 in a 0.755 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.755 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.755 * [taylor]: Taking taylor expansion of a in a 0.766 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.766 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.766 * [taylor]: Taking taylor expansion of a in a 0.766 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.766 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.766 * [taylor]: Taking taylor expansion of a in a 0.766 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.773 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.773 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.773 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.773 * [taylor]: Taking taylor expansion of -1 in a 0.773 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.773 * [taylor]: Taking taylor expansion of a in a 0.773 * [taylor]: Taking taylor expansion of (acos a) in a 0.773 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.773 * [taylor]: Taking taylor expansion of -1 in a 0.774 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.774 * [taylor]: Taking taylor expansion of a in a 0.774 * [taylor]: Taking taylor expansion of (acos a) in a 0.979 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.979 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.979 * [taylor]: Taking taylor expansion of -1 in a 0.979 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.979 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.979 * [taylor]: Taking taylor expansion of a in a 0.980 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.980 * [taylor]: Taking taylor expansion of -1 in a 0.980 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.980 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.980 * [taylor]: Taking taylor expansion of a in a 0.986 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.986 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.986 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.986 * [taylor]: Taking taylor expansion of a in a 0.987 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.987 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.987 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.987 * [taylor]: Taking taylor expansion of a in a 0.987 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.996 * * * [progress]: simplifying candidates 0.997 * [simplify]: Simplifying using # : (* (- (acos a)) (/ 1 a)) (+ (log (- (acos a))) (- (log a))) (+ (log (- (acos a))) (- 0 (log a))) (+ (log (- (acos a))) (- (log 1) (log a))) (+ (log (- (acos a))) (log (/ 1 a))) (log (* (- (acos a)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (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) (- 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))) 1.002 * * [simplify]: iteration 0 : 351 enodes (cost 507 ) 1.008 * * [simplify]: iteration 1 : 1640 enodes (cost 403 ) 1.032 * * [simplify]: iteration 2 : 5001 enodes (cost 379 ) 1.034 * [simplify]: Simplified to: (/ (- (acos a)) a) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (pow (/ (- (acos a)) a) 3) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (pow (/ (- (acos a)) a) 3) (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))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (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)) -1 -1 (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (pow (exp (/ 1 (- (acos a)))) a) (/ (pow a 3) (pow (- (acos a)) 3)) (/ (pow a 3) (pow (- (acos a)) 3)) (/ (pow a 3) (pow (- (acos a)) 3)) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (pow a 3) (pow (- (acos a)) 3)) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) -1 (/ (acos a) a) (* -1 (/ 1 (acos a))) a (* -1 (/ 1 (acos a))) a (* -1 (/ 1 (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (* -1 (/ 1 (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (* -1 (/ 1 (acos a))) (* -1 (/ 1 (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 1.035 * * * [progress]: adding candidates to table 1.139 * * [progress]: iteration 4 / 4 1.139 * * * [progress]: picking best candidate 1.150 * * * * [pick]: Picked # 1.150 * * * [progress]: localizing error 1.157 * * * [progress]: generating rewritten candidates 1.157 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.177 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.227 * * * [progress]: generating series expansions 1.227 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.228 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.228 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.228 * [taylor]: Taking taylor expansion of -1 in a 1.228 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.228 * [taylor]: Taking taylor expansion of a in a 1.228 * [taylor]: Taking taylor expansion of (acos a) in a 1.228 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.228 * [taylor]: Taking taylor expansion of -1 in a 1.228 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.228 * [taylor]: Taking taylor expansion of a in a 1.228 * [taylor]: Taking taylor expansion of (acos a) in a 1.235 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.235 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.235 * [taylor]: Taking taylor expansion of -1 in a 1.235 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.235 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.235 * [taylor]: Taking taylor expansion of a in a 1.236 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.236 * [taylor]: Taking taylor expansion of -1 in a 1.236 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.236 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.236 * [taylor]: Taking taylor expansion of a in a 1.241 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.241 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.241 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.241 * [taylor]: Taking taylor expansion of a in a 1.241 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.242 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.242 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.242 * [taylor]: Taking taylor expansion of a in a 1.242 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.250 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.250 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 1.250 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.250 * [taylor]: Taking taylor expansion of -1 in a 1.250 * [taylor]: Taking taylor expansion of (acos a) in a 1.251 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.251 * [taylor]: Taking taylor expansion of -1 in a 1.251 * [taylor]: Taking taylor expansion of (acos a) in a 1.252 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 1.252 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.252 * [taylor]: Taking taylor expansion of -1 in a 1.252 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.252 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.252 * [taylor]: Taking taylor expansion of -1 in a 1.252 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.254 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 1.254 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.254 * [taylor]: Taking taylor expansion of -1 in a 1.254 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.254 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.254 * [taylor]: Taking taylor expansion of -1 in a 1.254 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.261 * * * [progress]: simplifying candidates 1.271 * [simplify]: Simplifying using # : (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- 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(acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (acos a)) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) 1 -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)) (cbrt 1)) (- (acos a)) (- (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 1.359 * * * [progress]: adding candidates to table 1.940 * [progress]: [Phase 3 of 3] Extracting. 1.941 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.941 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 1.941 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # #) 1.970 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 1.992 * * * [regime]: Found split indices: #