13.759 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.023 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (/ a (- (acos a))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.035 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.035 * [taylor]: Taking taylor expansion of -1 in a 0.035 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.035 * [taylor]: Taking taylor expansion of a in a 0.035 * [taylor]: Taking taylor expansion of (acos a) in a 0.036 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.036 * [taylor]: Taking taylor expansion of -1 in a 0.036 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.036 * [taylor]: Taking taylor expansion of a in a 0.036 * [taylor]: Taking taylor expansion of (acos a) in a 0.044 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.044 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.044 * [taylor]: Taking taylor expansion of -1 in a 0.044 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.044 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.044 * [taylor]: Taking taylor expansion of a in a 0.044 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.044 * [taylor]: Taking taylor expansion of -1 in a 0.044 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.044 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.044 * [taylor]: Taking taylor expansion of a in a 0.050 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 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 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.051 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.051 * [taylor]: Taking taylor expansion of a in a 0.051 * [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))) 0.066 * * [simplify]: iteration 0 : 166 enodes (cost 384 ) 0.069 * * [simplify]: iteration 1 : 493 enodes (cost 372 ) 0.077 * * [simplify]: iteration 2 : 1442 enodes (cost 367 ) 0.097 * * [simplify]: iteration 3 : 3704 enodes (cost 366 ) 0.151 * * [simplify]: iteration 4 : 5002 enodes (cost 366 ) 0.153 * [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))) 0.154 * * * [progress]: adding candidates to table 0.258 * * [progress]: iteration 2 / 4 0.258 * * * [progress]: picking best candidate 0.277 * * * * [pick]: Picked # 0.277 * * * [progress]: localizing error 0.282 * * * [progress]: generating rewritten candidates 0.282 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.292 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.312 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.312 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.312 * [taylor]: Taking taylor expansion of -1 in a 0.312 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.312 * [taylor]: Taking taylor expansion of a in a 0.312 * [taylor]: Taking taylor expansion of (acos a) in a 0.312 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.312 * [taylor]: Taking taylor expansion of -1 in a 0.312 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.312 * [taylor]: Taking taylor expansion of a in a 0.312 * [taylor]: Taking taylor expansion of (acos a) in a 0.320 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.320 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.320 * [taylor]: Taking taylor expansion of -1 in a 0.320 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.320 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.320 * [taylor]: Taking taylor expansion of a in a 0.321 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.321 * [taylor]: Taking taylor expansion of -1 in a 0.321 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.321 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.321 * [taylor]: Taking taylor expansion of a in a 0.327 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.327 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.327 * [taylor]: Taking taylor expansion of a in a 0.327 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.328 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.328 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.328 * [taylor]: Taking taylor expansion of a in a 0.328 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.337 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.337 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.337 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.337 * [taylor]: Taking taylor expansion of -1 in a 0.337 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.337 * [taylor]: Taking taylor expansion of (acos a) in a 0.337 * [taylor]: Taking taylor expansion of a in a 0.337 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.337 * [taylor]: Taking taylor expansion of -1 in a 0.337 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.337 * [taylor]: Taking taylor expansion of (acos a) in a 0.337 * [taylor]: Taking taylor expansion of a in a 0.351 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.351 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.351 * [taylor]: Taking taylor expansion of -1 in a 0.351 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.351 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.351 * [taylor]: Taking taylor expansion of a in a 0.352 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.352 * [taylor]: Taking taylor expansion of -1 in a 0.352 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.352 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.352 * [taylor]: Taking taylor expansion of a in a 0.364 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.364 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.364 * [taylor]: Taking taylor expansion of a in a 0.364 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.364 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.364 * [taylor]: Taking taylor expansion of a in a 0.364 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.372 * * * [progress]: simplifying candidates 0.375 * [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))) 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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 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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) 0.446 * * * [progress]: adding candidates to table 0.735 * * [progress]: iteration 3 / 4 0.735 * * * [progress]: picking best candidate 0.753 * * * * [pick]: Picked # 0.753 * * * [progress]: localizing error 0.760 * * * [progress]: generating rewritten candidates 0.760 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.782 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.833 * * * [progress]: generating series expansions 0.833 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.834 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.834 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.834 * [taylor]: Taking taylor expansion of -1 in a 0.834 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.834 * [taylor]: Taking taylor expansion of a in a 0.834 * [taylor]: Taking taylor expansion of (acos a) in a 0.834 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.834 * [taylor]: Taking taylor expansion of -1 in a 0.834 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.834 * [taylor]: Taking taylor expansion of a in a 0.834 * [taylor]: Taking taylor expansion of (acos a) in a 0.842 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.842 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.842 * [taylor]: Taking taylor expansion of -1 in a 0.842 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.842 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.842 * [taylor]: Taking taylor expansion of a in a 0.843 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.843 * [taylor]: Taking taylor expansion of -1 in a 0.843 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.843 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.843 * [taylor]: Taking taylor expansion of a in a 0.849 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.849 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.849 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.849 * [taylor]: Taking taylor expansion of a in a 0.849 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.850 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.850 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.850 * [taylor]: Taking taylor expansion of a in a 0.850 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.866 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.866 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 0.866 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.866 * [taylor]: Taking taylor expansion of -1 in a 0.866 * [taylor]: Taking taylor expansion of (acos a) in a 0.866 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 0.867 * [taylor]: Taking taylor expansion of -1 in a 0.867 * [taylor]: Taking taylor expansion of (acos a) in a 0.868 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 0.868 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.868 * [taylor]: Taking taylor expansion of -1 in a 0.868 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.868 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 0.868 * [taylor]: Taking taylor expansion of -1 in a 0.868 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.870 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 0.870 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.870 * [taylor]: Taking taylor expansion of -1 in a 0.870 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.870 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 0.870 * [taylor]: Taking taylor expansion of -1 in a 0.870 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.872 * * * [progress]: simplifying candidates 0.882 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (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))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (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))) (/ (/ 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(* (sqrt a) (/ 1 (- (cbrt (acos a))))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* a (/ 1 (- (cbrt (acos a))))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* a (/ 1 (- (cbrt (acos a))))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* a (/ 1 (- (cbrt (acos a))))) (/ (/ 1 (sqrt (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (sqrt (acos a)))) (cbrt (/ 1 a))) (/ (/ 1 (sqrt (acos a))) (sqrt (/ 1 a))) (/ (/ 1 (- (sqrt (acos a)))) (sqrt (/ 1 a))) (/ (/ 1 (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ 1 (- (sqrt (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (/ 1 (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (/ 1 (- (sqrt (acos a)))) (/ (cbrt 1) (sqrt a))) (/ 1 (* (* (cbrt 1) (cbrt 1)) (sqrt (acos a)))) (/ (/ 1 (- (sqrt (acos a)))) (/ (cbrt 1) a)) (* (* (cbrt a) (cbrt a)) (/ 1 (sqrt (acos a)))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (sqrt a) (/ 1 (sqrt (acos a)))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (* (cbrt a) (cbrt a)) (/ 1 (sqrt (acos a)))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (sqrt a) (/ 1 (sqrt (acos a)))) (* (sqrt a) (/ 1 (- (sqrt (acos a))))) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ 1 (- (acos a))) (/ (cbrt 1) (cbrt a))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (/ 1 (- (acos a))) (/ (cbrt 1) (sqrt a))) (/ 1 (* (cbrt 1) (cbrt 1))) (/ (/ 1 (- (acos a))) (/ (cbrt 1) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (sqrt a) (/ 1 (- (acos a)))) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (sqrt a) (/ 1 (- (acos a)))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ 1 (- (acos a))) (/ (cbrt 1) (cbrt a))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (/ 1 (- (acos a))) (/ (cbrt 1) (sqrt a))) (/ 1 (* (cbrt 1) (cbrt 1))) (/ (/ 1 (- (acos a))) (/ (cbrt 1) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (sqrt a) (/ 1 (- (acos a)))) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (sqrt a) (/ 1 (- (acos a)))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ 1 (- (acos a))) (/ (cbrt 1) (cbrt a))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (/ 1 (- (acos a))) (/ (cbrt 1) (sqrt a))) (/ 1 (* (cbrt 1) (cbrt 1))) (/ (/ 1 (- (acos a))) (/ (cbrt 1) a)) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (sqrt a) (/ 1 (- (acos a)))) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (sqrt a) (/ 1 (- (acos a)))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) a (/ (- (acos a)) a) (/ (/ 1 (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ 1 (- (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ 1 (* (* (cbrt 1) (cbrt 1)) (- (acos a)))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (sqrt a) (/ 1 (- (acos a)))) (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (sqrt a) (/ 1 (- (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))))) (/ (/ 1 a) (/ (cbrt 1) (sqrt (- (acos a))))) (/ (/ 1 a) (/ (cbrt 1) (- (acos a)))) (/ (/ 1 a) (/ (cbrt 1) (acos a))) (/ (/ 1 a) (/ (cbrt 1) (cbrt (acos a)))) (/ (/ 1 a) (/ (cbrt 1) (sqrt (acos a)))) (/ (/ 1 a) (/ (cbrt 1) (acos a))) (/ (/ 1 a) (/ (cbrt 1) (- (cbrt (acos a))))) (/ (/ 1 a) (/ (cbrt 1) (- (sqrt (acos a))))) (/ (/ 1 a) (/ (cbrt 1) (- (acos a)))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) 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)))) (/ (- (acos a)) a) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) 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)))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (expm1 (/ 1 (- (acos a)))) (log1p (/ 1 (- (acos a)))) -1 (log (/ 1 (- (acos a)))) (log (/ 1 (- (acos a)))) (log (/ 1 (- (acos a)))) (log (/ 1 (- (acos a)))) (exp (/ 1 (- (acos a)))) (pow (/ 1 (- (acos a))) 3) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (pow (/ 1 (- (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) (cbrt 1)) (sqrt (- (acos a)))) (/ (cbrt 1) (sqrt (- (acos a)))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (- (acos a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (acos a)) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt 1) (cbrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (acos a)))) (/ (cbrt 1) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt 1) (- (cbrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (acos a))) (/ (cbrt 1) (- (sqrt (acos a)))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 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 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (acos a)) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) 1 -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)) 0.982 * * * [progress]: adding candidates to table 1.666 * * [progress]: iteration 4 / 4 1.666 * * * [progress]: picking best candidate 1.681 * * * * [pick]: Picked # 1.681 * * * [progress]: localizing error 1.692 * * * [progress]: generating rewritten candidates 1.692 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.745 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.757 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.761 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.841 * * * [progress]: generating series expansions 1.841 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.842 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.842 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.842 * [taylor]: Taking taylor expansion of -1 in a 1.842 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.842 * [taylor]: Taking taylor expansion of a in a 1.842 * [taylor]: Taking taylor expansion of (acos a) in a 1.842 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.842 * [taylor]: Taking taylor expansion of -1 in a 1.842 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.842 * [taylor]: Taking taylor expansion of a in a 1.842 * [taylor]: Taking taylor expansion of (acos a) in a 1.850 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.850 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.850 * [taylor]: Taking taylor expansion of -1 in a 1.850 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.850 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.851 * [taylor]: Taking taylor expansion of a in a 1.851 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.851 * [taylor]: Taking taylor expansion of -1 in a 1.851 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.851 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.851 * [taylor]: Taking taylor expansion of a in a 1.858 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.858 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.858 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.858 * [taylor]: Taking taylor expansion of a in a 1.858 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.858 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.858 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.858 * [taylor]: Taking taylor expansion of a in a 1.858 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.868 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.868 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 1.868 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.868 * [taylor]: Taking taylor expansion of -1 in a 1.868 * [taylor]: Taking taylor expansion of (acos a) in a 1.868 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.868 * [taylor]: Taking taylor expansion of -1 in a 1.868 * [taylor]: Taking taylor expansion of (acos a) in a 1.870 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 1.870 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.870 * [taylor]: Taking taylor expansion of -1 in a 1.870 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.870 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.870 * [taylor]: Taking taylor expansion of -1 in a 1.870 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.872 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 1.872 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.872 * [taylor]: Taking taylor expansion of -1 in a 1.872 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.872 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.872 * [taylor]: Taking taylor expansion of -1 in a 1.872 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.874 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.874 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 1.874 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.874 * [taylor]: Taking taylor expansion of -1 in a 1.874 * [taylor]: Taking taylor expansion of (acos a) in a 1.874 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.874 * [taylor]: Taking taylor expansion of -1 in a 1.874 * [taylor]: Taking taylor expansion of (acos a) in a 1.876 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 1.876 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.876 * [taylor]: Taking taylor expansion of -1 in a 1.876 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.876 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.876 * [taylor]: Taking taylor expansion of -1 in a 1.876 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.878 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 1.878 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.878 * [taylor]: Taking taylor expansion of -1 in a 1.878 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.878 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.878 * [taylor]: Taking taylor expansion of -1 in a 1.878 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.880 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.880 * [approximate]: Taking taylor expansion of (exp (/ -1 (acos a))) in (a) around 0 1.880 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos a))) in a 1.880 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.880 * [taylor]: Taking taylor expansion of -1 in a 1.880 * [taylor]: Taking taylor expansion of (acos a) in a 1.880 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos a))) in a 1.880 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.880 * [taylor]: Taking taylor expansion of -1 in a 1.880 * [taylor]: Taking taylor expansion of (acos a) in a 1.899 * [approximate]: Taking taylor expansion of (exp (/ -1 (acos (/ 1 a)))) in (a) around 0 1.899 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos (/ 1 a)))) in a 1.899 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.899 * [taylor]: Taking taylor expansion of -1 in a 1.899 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.899 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos (/ 1 a)))) in a 1.899 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.899 * [taylor]: Taking taylor expansion of -1 in a 1.899 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.911 * [approximate]: Taking taylor expansion of (exp (/ -1 (acos (/ -1 a)))) in (a) around 0 1.911 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos (/ -1 a)))) in a 1.911 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.911 * [taylor]: Taking taylor expansion of -1 in a 1.911 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.911 * [taylor]: Taking taylor expansion of (exp (/ -1 (acos (/ -1 a)))) in a 1.911 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.911 * [taylor]: Taking taylor expansion of -1 in a 1.911 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.924 * * * [progress]: simplifying candidates 1.937 * [simplify]: Simplifying using # : (expm1 (/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))) 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