24.796 * [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 (neg (acos a))) 0.023 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (/ a (neg (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 0.043 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 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 0.043 * [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 0.053 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.053 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.053 * [taylor]: Taking taylor expansion of a in a 0.053 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.054 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.054 * [taylor]: Taking taylor expansion of a in a 0.054 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.062 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (- (log a) (log (neg (acos a)))) (log (/ a (neg (acos a)))) (exp (/ a (neg (acos a)))) (/ (* (* a a) a) (* (* (neg (acos a)) (neg (acos a))) (neg (acos a)))) (* (cbrt (/ a (neg (acos a)))) (cbrt (/ a (neg (acos a))))) (cbrt (/ a (neg (acos a)))) (* (* (/ a (neg (acos a))) (/ a (neg (acos a)))) (/ a (neg (acos a)))) (sqrt (/ a (neg (acos a)))) (sqrt (/ a (neg (acos a)))) (neg a) (neg (neg (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ (cbrt a) (cbrt (neg (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (neg (acos a)))) (/ (cbrt a) (sqrt (neg (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (neg (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (neg (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (neg 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (neg (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (neg (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (neg (acos a))) (/ (sqrt a) (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ (sqrt a) (cbrt (neg (acos a)))) (/ (sqrt a) (sqrt (neg (acos a)))) (/ (sqrt a) (sqrt (neg (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (neg (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (neg (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (neg 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (neg (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (neg (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (neg (acos a))) (/ 1 (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ a (cbrt (neg (acos a)))) (/ 1 (sqrt (neg (acos a)))) (/ a (sqrt (neg (acos a)))) (/ 1 1) (/ a (neg (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (neg (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (neg 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (neg (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (neg (sqrt (acos a)))) (/ 1 1) (/ a (neg (acos a))) (/ 1 (neg (acos a))) (/ (neg (acos a)) a) (/ a (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ a (sqrt (neg (acos a)))) (/ a 1) (/ a -1) (/ a (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (neg (sqrt (acos a)))) (/ a (neg 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (neg (acos a)) (cbrt a)) (/ (neg (acos a)) (sqrt a)) (/ (neg (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.068 * * [simplify]: iteration 0 : 164 enodes (cost 371 ) 0.071 * * [simplify]: iteration 1 : 483 enodes (cost 359 ) 0.079 * * [simplify]: iteration 2 : 1375 enodes (cost 359 ) 0.100 * * [simplify]: iteration 3 : 3633 enodes (cost 358 ) 0.157 * * [simplify]: iteration 4 : 5001 enodes (cost 358 ) 0.159 * [simplify]: Simplified to: (log (/ a (neg (acos a)))) (log (/ a (neg (acos a)))) (exp (/ a (neg (acos a)))) (pow (/ a (neg (acos a))) 3) (* (cbrt (/ a (neg (acos a)))) (cbrt (/ a (neg (acos a))))) (cbrt (/ a (neg (acos a)))) (pow (/ a (neg (acos a))) 3) (sqrt (/ a (neg (acos a)))) (sqrt (/ a (neg (acos a)))) (* -1 a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ (cbrt a) (cbrt (neg (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (neg (acos a)))) (/ (cbrt a) (sqrt (neg (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (neg (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (neg (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) (neg (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (neg (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (neg (acos a))) (/ (sqrt a) (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ (sqrt a) (cbrt (neg (acos a)))) (/ (sqrt a) (sqrt (neg (acos a)))) (/ (sqrt a) (sqrt (neg (acos a)))) (sqrt a) (/ (sqrt a) (neg (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (neg (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) (neg (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (neg (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (neg (acos a))) (/ 1 (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ a (cbrt (neg (acos a)))) (/ 1 (sqrt (neg (acos a)))) (/ a (sqrt (neg (acos a)))) 1 (* -1 (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (neg (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (neg (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (neg (sqrt (acos a)))) 1 (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ (neg (acos a)) a) (/ a (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ a (sqrt (neg (acos a)))) a (* -1 a) (/ a (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (neg (sqrt (acos a)))) (* -1 a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (neg (acos a)) (cbrt a)) (/ (neg (acos a)) (sqrt a)) (/ (neg (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.160 * * * [progress]: adding candidates to table 0.238 * * [progress]: iteration 2 / 4 0.239 * * * [progress]: picking best candidate 0.251 * * * * [pick]: Picked # 0.251 * * * [progress]: localizing error 0.256 * * * [progress]: generating rewritten candidates 0.256 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.261 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.284 * * * [progress]: generating series expansions 0.284 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.284 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.284 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.284 * [taylor]: Taking taylor expansion of -1 in a 0.284 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.284 * [taylor]: Taking taylor expansion of (acos a) in a 0.284 * [taylor]: Taking taylor expansion of a in a 0.284 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.284 * [taylor]: Taking taylor expansion of -1 in a 0.284 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.284 * [taylor]: Taking taylor expansion of (acos a) in a 0.285 * [taylor]: Taking taylor expansion of a in a 0.298 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.298 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.298 * [taylor]: Taking taylor expansion of -1 in a 0.298 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.298 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.298 * [taylor]: Taking taylor expansion of a in a 0.298 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.298 * [taylor]: Taking taylor expansion of -1 in a 0.298 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.298 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.298 * [taylor]: Taking taylor expansion of a in a 0.309 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.309 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.309 * [taylor]: Taking taylor expansion of a in a 0.310 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.310 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.310 * [taylor]: Taking taylor expansion of a in a 0.310 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.318 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.318 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.318 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.318 * [taylor]: Taking taylor expansion of -1 in a 0.318 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.318 * [taylor]: Taking taylor expansion of a in a 0.318 * [taylor]: Taking taylor expansion of (acos a) in a 0.318 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.318 * [taylor]: Taking taylor expansion of -1 in a 0.318 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.318 * [taylor]: Taking taylor expansion of a in a 0.318 * [taylor]: Taking taylor expansion of (acos a) in a 0.325 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.325 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.325 * [taylor]: Taking taylor expansion of -1 in a 0.325 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.325 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.325 * [taylor]: Taking taylor expansion of a in a 0.325 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.325 * [taylor]: Taking taylor expansion of -1 in a 0.325 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.325 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.325 * [taylor]: Taking taylor expansion of a in a 0.331 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.331 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.331 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.331 * [taylor]: Taking taylor expansion of a in a 0.331 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.331 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.331 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.331 * [taylor]: Taking taylor expansion of a in a 0.331 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.340 * * * [progress]: simplifying candidates 0.343 * [simplify]: Simplifying using # : (- (log (neg (acos a))) (log a)) (log (/ (neg (acos a)) a)) (exp (/ (neg (acos a)) a)) (/ (* (* (neg (acos a)) (neg (acos a))) (neg (acos a))) (* (* a a) a)) (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a))) (cbrt (/ (neg (acos a)) a)) (* (* (/ (neg (acos a)) a) (/ (neg (acos a)) a)) (/ (neg (acos a)) a)) (sqrt (/ (neg (acos a)) a)) (sqrt (/ (neg (acos a)) a)) (neg (neg (acos a))) (neg a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (neg (acos a))) (cbrt (neg (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (neg (acos a))) (cbrt a)) (/ (* (cbrt (neg (acos a))) (cbrt (neg (acos a)))) (sqrt a)) (/ (cbrt (neg (acos a))) (sqrt a)) (/ (* (cbrt (neg (acos a))) (cbrt (neg (acos a)))) 1) (/ (cbrt (neg (acos a))) a) (/ (sqrt (neg (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (neg (acos a))) (cbrt a)) (/ (sqrt (neg (acos a))) (sqrt a)) (/ (sqrt (neg (acos a))) (sqrt a)) (/ (sqrt (neg (acos a))) 1) (/ (sqrt (neg (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (neg (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (neg (acos a)) (sqrt a)) (/ 1 1) (/ (neg (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (neg (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (neg (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (neg (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (neg (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (neg (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (neg (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (neg 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (neg 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (neg 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (neg (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (neg (cbrt (acos a))) (sqrt a)) (/ (* 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(acos a)) a))) (exp (/ 1 (/ (neg (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (neg (acos a)) (neg (acos a))) (neg (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (neg (acos a)) a) (/ (neg (acos a)) a)) (/ (neg (acos a)) a))) (* (cbrt (/ 1 (/ (neg (acos a)) a))) (cbrt (/ 1 (/ (neg (acos a)) a)))) (cbrt (/ 1 (/ (neg (acos a)) a))) (* (* (/ 1 (/ (neg (acos a)) a)) (/ 1 (/ (neg (acos a)) a))) (/ 1 (/ (neg (acos a)) a))) (sqrt (/ 1 (/ (neg (acos a)) a))) (sqrt (/ 1 (/ (neg (acos a)) a))) (neg 1) (neg (/ (neg (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (neg (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (neg (acos a)) a))) (/ (cbrt 1) (sqrt (/ (neg (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (neg (acos a))) (cbrt (neg (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (neg (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (neg (acos a))) (cbrt (neg (acos a)))) (sqrt a))) (/ (cbrt 1) (/ 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a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (neg (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (* 1 (cbrt a)) (neg (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (neg (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (neg (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (neg (acos a))) 1 (/ a (neg (acos a))) 1 (/ a (neg (acos a))) (* -1 (/ 1 (acos a))) a (/ (/ 1 (cbrt (/ (neg (acos a)) a))) (cbrt (/ (neg (acos a)) a))) (/ 1 (cbrt (/ (neg (acos a)) a))) (/ 1 (sqrt (/ (neg (acos a)) a))) (/ 1 (sqrt (/ (neg (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ (* 1 (cbrt a)) (cbrt (neg (acos a)))) (/ (sqrt a) (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ (sqrt a) (cbrt (neg (acos a)))) (/ 1 (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ a (cbrt (neg (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (neg (acos a)))) (/ (* 1 (cbrt a)) (sqrt (neg (acos a)))) (/ (sqrt a) (sqrt (neg (acos a)))) (/ (sqrt a) (sqrt (neg (acos a)))) (/ 1 (sqrt (neg (acos a)))) (/ a (sqrt (neg (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (neg (acos a))) 1 (/ a (neg (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (* -1 (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* 1 (cbrt a)) (cbrt (acos a))) (/ (sqrt a) (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (neg (sqrt (acos a)))) (/ (* 1 (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (neg (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (neg (sqrt (acos a)))) (/ a (sqrt (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt 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)) (neg (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (neg (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (neg (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (* 1 (cbrt a)) (neg (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (neg (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (neg (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (neg (acos a))) 1 (/ a (neg (acos a))) 1 (/ a (neg (acos a))) (* -1 (/ 1 (acos a))) a (/ a (neg (acos a))) (/ (neg (acos a)) a) (/ (/ 1 (cbrt (/ (neg (acos a)) a))) (cbrt (/ (neg (acos a)) a))) (/ 1 (sqrt (/ (neg (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ (sqrt a) (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ 1 (* (cbrt (neg (acos a))) (cbrt (neg (acos a))))) (/ (* (cbrt a) (cbrt a)) (sqrt (neg (acos a)))) (/ (sqrt a) (sqrt (neg (acos a)))) (/ 1 (sqrt (neg (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (neg (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* (cbrt a) (cbrt a)) (neg (sqrt (acos a)))) (/ (sqrt a) (neg (sqrt (acos a)))) (/ 1 (neg (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 (/ 1 (acos a))) (/ (neg (acos a)) a) (/ (neg (acos a)) a) (/ (neg (acos a)) a) (* -1 (/ 1 (acos a))) (/ (neg (acos a)) a) (/ (neg (acos a)) a) (/ (neg (acos a)) a) (/ a (neg (acos a))) (/ a (neg (acos a))) (/ a (neg (acos a))) 0.415 * * * [progress]: adding candidates to table 0.613 * * [progress]: iteration 3 / 4 0.613 * * * [progress]: picking best candidate 0.627 * * * * [pick]: Picked # 0.627 * * * [progress]: localizing error 0.633 * * * [progress]: generating rewritten candidates 0.633 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.642 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.652 * * * [progress]: generating series expansions 0.652 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.652 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.652 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.652 * [taylor]: Taking taylor expansion of -1 in a 0.652 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.652 * [taylor]: Taking taylor expansion of (acos a) in a 0.652 * [taylor]: Taking taylor expansion of a in a 0.652 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.652 * [taylor]: Taking taylor expansion of -1 in a 0.652 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.652 * [taylor]: Taking taylor expansion of (acos a) in a 0.652 * [taylor]: Taking taylor expansion of a in a 0.666 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.666 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.666 * [taylor]: Taking taylor expansion of -1 in a 0.666 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.666 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.666 * [taylor]: Taking taylor expansion of a in a 0.666 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.666 * [taylor]: Taking taylor expansion of -1 in a 0.666 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.666 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.666 * [taylor]: Taking taylor expansion of a in a 0.677 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.677 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.677 * [taylor]: Taking taylor expansion of a in a 0.677 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.677 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.677 * [taylor]: Taking taylor expansion of a in a 0.677 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.689 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.689 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.689 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.689 * [taylor]: Taking taylor expansion of -1 in a 0.689 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.689 * [taylor]: Taking taylor expansion of a in a 0.689 * [taylor]: Taking taylor expansion of (acos a) in a 0.689 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.689 * [taylor]: Taking taylor expansion of -1 in a 0.689 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.689 * [taylor]: Taking taylor expansion of a in a 0.689 * [taylor]: Taking taylor expansion of (acos a) in a 0.696 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.696 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.696 * [taylor]: Taking taylor expansion of -1 in a 0.696 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.696 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.696 * [taylor]: Taking taylor expansion of a in a 0.696 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.696 * [taylor]: Taking taylor expansion of -1 in a 0.696 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.696 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.696 * [taylor]: Taking taylor expansion of a in a 0.702 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.702 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.702 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.702 * [taylor]: Taking taylor expansion of a in a 0.702 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.703 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.703 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.703 * [taylor]: Taking taylor expansion of a in a 0.703 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.711 * * * [progress]: simplifying candidates 0.712 * [simplify]: Simplifying using # : (* (neg (acos a)) (/ 1 a)) (+ (log (neg (acos a))) (neg (log a))) (+ (log (neg (acos a))) (- 0 (log a))) (+ (log (neg (acos a))) (- (log 1) (log a))) (+ (log (neg (acos a))) (log (/ 1 a))) (log (* (neg (acos a)) (/ 1 a))) (exp (* (neg (acos a)) (/ 1 a))) (* (* (* (neg (acos a)) (neg (acos a))) (neg (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (neg (acos a)) (neg (acos a))) (neg (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (neg (acos a)) (/ 1 a))) (cbrt (* (neg (acos a)) (/ 1 a)))) (cbrt (* (neg (acos a)) (/ 1 a))) (* (* (* (neg (acos a)) (/ 1 a)) (* (neg (acos a)) (/ 1 a))) (* (neg (acos a)) (/ 1 a))) (sqrt (* (neg (acos a)) (/ 1 a))) (sqrt (* (neg (acos a)) (/ 1 a))) (* (sqrt (neg (acos a))) (sqrt (/ 1 a))) (* (sqrt (neg (acos a))) (sqrt (/ 1 a))) (* (sqrt (neg (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (neg (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (neg (acos a))) (/ 1 (sqrt a))) (* (sqrt (neg (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (neg (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (neg (acos a)) (sqrt (/ 1 a))) (* (neg (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (neg (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (neg (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (neg (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (neg (acos a)) (/ (sqrt 1) (sqrt a))) (* (neg (acos a)) (/ (sqrt 1) 1)) (* (neg (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (neg (acos a)) (/ 1 (sqrt a))) (* (neg (acos a)) (/ 1 1)) (* (neg (acos a)) 1) (* (neg (acos a)) 1) (* (cbrt (neg (acos a))) (/ 1 a)) (* (sqrt (neg (acos a))) (/ 1 a)) (* (neg (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (neg (cbrt (acos a))) (/ 1 a)) (* (neg (sqrt (acos a))) (/ 1 a)) (* (neg (acos a)) (/ 1 a)) (* (neg (acos a)) 1) (neg 1) (neg 1) (neg (+ (log (neg (acos a))) (neg (log a)))) (neg (+ (log (neg (acos a))) (- 0 (log a)))) (neg (+ (log (neg (acos a))) (- (log 1) (log a)))) (neg (+ (log (neg (acos a))) (log (/ 1 a)))) (neg (log (* (neg (acos a)) (/ 1 a)))) (- 0 (+ (log (neg (acos a))) (neg (log a)))) (- 0 (+ (log (neg (acos a))) (- 0 (log a)))) (- 0 (+ (log (neg (acos a))) (- (log 1) (log a)))) (- 0 (+ (log (neg (acos a))) (log (/ 1 a)))) (- 0 (log (* (neg (acos a)) (/ 1 a)))) (- (log 1) (+ (log (neg (acos a))) (neg (log a)))) (- (log 1) (+ (log (neg (acos a))) (- 0 (log a)))) (- (log 1) (+ (log (neg (acos a))) (- (log 1) (log a)))) (- (log 1) (+ (log (neg (acos a))) (log (/ 1 a)))) (- (log 1) (log (* (neg (acos a)) (/ 1 a)))) (log (/ 1 (* (neg (acos a)) (/ 1 a)))) (exp (/ 1 (* (neg (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (neg (acos a)) (neg (acos a))) (neg (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (neg (acos a)) (neg (acos a))) (neg (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (neg (acos a)) (/ 1 a)) (* (neg (acos a)) (/ 1 a))) (* (neg (acos a)) (/ 1 a)))) (* (cbrt (/ 1 (* (neg (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (neg (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (neg (acos a)) (/ 1 a)))) (* (* (/ 1 (* (neg (acos a)) (/ 1 a))) (/ 1 (* (neg (acos a)) (/ 1 a)))) (/ 1 (* (neg (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (neg (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (neg (acos a)) (/ 1 a)))) (neg 1) (neg (* (neg (acos a)) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (neg (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (neg (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (neg (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (neg (acos a)) (/ 1 a))) (/ (* (neg (acos a)) (/ 1 a)) 1) (/ 1 (neg (acos a))) (/ (* (neg (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (neg (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (neg (acos a)) (/ 1 a)) 1) (/ 1 (neg (acos a))) (/ 1 (* (neg (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))) 0.717 * * [simplify]: iteration 0 : 351 enodes (cost 504 ) 0.724 * * [simplify]: iteration 1 : 1643 enodes (cost 400 ) 0.747 * * [simplify]: iteration 2 : 5001 enodes (cost 379 ) 0.749 * [simplify]: Simplified to: (/ (neg (acos a)) a) (log (/ (neg (acos a)) a)) (log (/ (neg (acos a)) a)) (log (/ (neg (acos a)) a)) (log (/ (neg (acos a)) a)) (log (/ (neg (acos a)) a)) (exp (/ (neg (acos a)) a)) (pow (/ (neg (acos a)) a) 3) (pow (/ (neg (acos a)) a) 3) (* (cbrt (* (neg (acos a)) (/ 1 a))) (cbrt (* (neg (acos a)) (/ 1 a)))) (cbrt (* (neg (acos a)) (/ 1 a))) (pow (/ (neg (acos a)) a) 3) (sqrt (* (neg (acos a)) (/ 1 a))) (sqrt (* (neg (acos a)) (/ 1 a))) (* (sqrt (neg (acos a))) (sqrt (/ 1 a))) (* (sqrt (neg (acos a))) (sqrt (/ 1 a))) (/ (* (sqrt (neg (acos a))) 1) (sqrt a)) (/ (* (sqrt (neg (acos a))) 1) (sqrt a)) (/ (* (sqrt (neg (acos a))) 1) (sqrt a)) (/ (* (sqrt (neg (acos a))) 1) (sqrt a)) (/ (acos a) a) (* (neg (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (neg (acos a)) (sqrt (/ 1 a))) (/ (* (acos a) -1) (* (cbrt a) (cbrt a))) (/ (* (acos a) -1) (sqrt a)) (* (acos a) -1) (/ (* (acos a) -1) (* (cbrt a) (cbrt a))) (/ (* (acos a) -1) (sqrt a)) (* (acos a) -1) (/ (* (acos a) -1) (* (cbrt a) (cbrt a))) (/ (* (acos a) -1) (sqrt a)) (* (acos a) -1) (* (acos a) -1) (* (acos a) -1) (/ (cbrt (neg (acos a))) a) (/ (sqrt (neg (acos a))) a) (/ (neg (acos a)) a) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (/ (neg (cbrt (acos a))) a) (/ (neg (sqrt (acos a))) a) (/ (neg (acos a)) a) (* (acos a) -1) -1 -1 (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (neg (log (/ (neg (acos a)) a))) (pow (exp (/ 1 (neg (acos a)))) a) (/ (pow a 3) (pow (neg (acos a)) 3)) (/ (pow a 3) (pow (neg (acos a)) 3)) (/ (pow a 3) (pow (neg (acos a)) 3)) (* (cbrt (/ 1 (* (neg (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (neg (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (neg (acos a)) (/ 1 a)))) (/ (pow a 3) (pow (neg (acos a)) 3)) (sqrt (/ 1 (* (neg (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (neg (acos a)) (/ 1 a)))) -1 (/ (acos a) a) (* (/ 1 (acos a)) -1) a (* (/ 1 (acos a)) -1) a (* (/ 1 (acos a)) -1) a (/ a (neg (acos a))) (/ (neg (acos a)) a) (* (/ 1 (acos a)) -1) (/ (neg (acos a)) a) (/ (neg (acos a)) a) (/ (neg (acos a)) a) (* (/ 1 (acos a)) -1) (* (/ 1 (acos a)) -1) (/ (neg (acos a)) a) (/ (neg (acos a)) a) (/ (neg (acos a)) a) (/ a (neg (acos a))) (/ a (neg (acos a))) (/ a (neg (acos a))) 0.750 * * * [progress]: adding candidates to table 0.835 * * [progress]: iteration 4 / 4 0.835 * * * [progress]: picking best candidate 0.848 * * * * [pick]: Picked # 0.848 * * * [progress]: localizing error 0.858 * * * [progress]: generating rewritten candidates 0.858 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.892 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.895 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.899 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.920 * * * [progress]: generating series expansions 0.920 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.920 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (acos a) 2) (pow a 2)) 1/3)) in (a) around 0 0.920 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (acos a) 2) (pow a 2)) 1/3)) in a 0.920 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 0.920 * [taylor]: Taking taylor expansion of (cbrt -1) in a 0.920 * [taylor]: Taking taylor expansion of -1 in a 0.921 * [taylor]: Taking taylor expansion of (pow (/ (pow (acos a) 2) (pow a 2)) 1/3) in a 0.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (acos a) 2) (pow a 2))))) in a 0.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (acos a) 2) (pow a 2)))) in a 0.921 * [taylor]: Taking taylor expansion of 1/3 in a 0.921 * [taylor]: Taking taylor expansion of (log (/ (pow (acos a) 2) (pow a 2))) in a 0.921 * [taylor]: Taking taylor expansion of (/ (pow (acos a) 2) (pow a 2)) in a 0.921 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 0.921 * [taylor]: Taking taylor expansion of (acos a) in a 0.921 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.921 * [taylor]: Taking taylor expansion of a in a 0.928 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (acos a) 2) (pow a 2)) 1/3)) in a 0.928 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 0.928 * [taylor]: Taking taylor expansion of (cbrt -1) in a 0.928 * [taylor]: Taking taylor expansion of -1 in a 0.929 * [taylor]: Taking taylor expansion of (pow (/ (pow (acos a) 2) (pow a 2)) 1/3) in a 0.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (acos a) 2) (pow a 2))))) in a 0.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (acos a) 2) (pow a 2)))) in a 0.929 * [taylor]: Taking taylor expansion of 1/3 in a 0.929 * [taylor]: Taking taylor expansion of (log (/ (pow (acos a) 2) (pow a 2))) in a 0.929 * [taylor]: Taking taylor expansion of (/ (pow (acos a) 2) (pow a 2)) in a 0.929 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 0.929 * [taylor]: Taking taylor expansion of (acos a) in a 0.929 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.929 * [taylor]: Taking taylor expansion of a in a 1.001 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow (acos (/ 1 a)) 2) (pow a 2)) 1/3)) in (a) around 0 1.001 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow (acos (/ 1 a)) 2) (pow a 2)) 1/3)) in a 1.001 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 1.001 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.001 * [taylor]: Taking taylor expansion of -1 in a 1.002 * [taylor]: Taking taylor expansion of (pow (* (pow (acos (/ 1 a)) 2) (pow a 2)) 1/3) in a 1.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (acos (/ 1 a)) 2) (pow a 2))))) in a 1.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (acos (/ 1 a)) 2) (pow a 2)))) in a 1.002 * [taylor]: Taking taylor expansion of 1/3 in a 1.002 * [taylor]: Taking taylor expansion of (log (* (pow (acos (/ 1 a)) 2) (pow a 2))) in a 1.002 * [taylor]: Taking taylor expansion of (* (pow (acos (/ 1 a)) 2) (pow a 2)) in a 1.002 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 1.002 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.002 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.002 * [taylor]: Taking taylor expansion of a in a 1.003 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (* (pow (acos (/ 1 a)) 2) (pow a 2)) 1/3)) in a 1.003 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 1.003 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.003 * [taylor]: Taking taylor expansion of -1 in a 1.004 * [taylor]: Taking taylor expansion of (pow (* (pow (acos (/ 1 a)) 2) (pow a 2)) 1/3) in a 1.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (acos (/ 1 a)) 2) (pow a 2))))) in a 1.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (acos (/ 1 a)) 2) (pow a 2)))) in a 1.004 * [taylor]: Taking taylor expansion of 1/3 in a 1.004 * [taylor]: Taking taylor expansion of (log (* (pow (acos (/ 1 a)) 2) (pow a 2))) in a 1.004 * [taylor]: Taking taylor expansion of (* (pow (acos (/ 1 a)) 2) (pow a 2)) in a 1.004 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 1.004 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.004 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.004 * [taylor]: Taking taylor expansion of a in a 1.076 * [approximate]: Taking taylor expansion of (pow (* (pow a 2) (pow (acos (/ -1 a)) 2)) 1/3) in (a) around 0 1.076 * [taylor]: Taking taylor expansion of (pow (* (pow a 2) (pow (acos (/ -1 a)) 2)) 1/3) in a 1.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow a 2) (pow (acos (/ -1 a)) 2))))) in a 1.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow a 2) (pow (acos (/ -1 a)) 2)))) in a 1.076 * [taylor]: Taking taylor expansion of 1/3 in a 1.076 * [taylor]: Taking taylor expansion of (log (* (pow a 2) (pow (acos (/ -1 a)) 2))) in a 1.076 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow (acos (/ -1 a)) 2)) in a 1.076 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.076 * [taylor]: Taking taylor expansion of a in a 1.076 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 1.076 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.077 * [taylor]: Taking taylor expansion of (pow (* (pow a 2) (pow (acos (/ -1 a)) 2)) 1/3) in a 1.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow a 2) (pow (acos (/ -1 a)) 2))))) in a 1.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow a 2) (pow (acos (/ -1 a)) 2)))) in a 1.077 * [taylor]: Taking taylor expansion of 1/3 in a 1.077 * [taylor]: Taking taylor expansion of (log (* (pow a 2) (pow (acos (/ -1 a)) 2))) in a 1.077 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow (acos (/ -1 a)) 2)) in a 1.077 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.077 * [taylor]: Taking taylor expansion of a in a 1.077 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 1.077 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.133 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.133 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (acos a) a) 1/3)) in (a) around 0 1.133 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (acos a) a) 1/3)) in a 1.133 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.133 * [taylor]: Taking taylor expansion of -1 in a 1.134 * [taylor]: Taking taylor expansion of (pow (/ (acos a) a) 1/3) in a 1.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (acos a) a)))) in a 1.134 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (acos a) a))) in a 1.134 * [taylor]: Taking taylor expansion of 1/3 in a 1.134 * [taylor]: Taking taylor expansion of (log (/ (acos a) a)) in a 1.134 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.134 * [taylor]: Taking taylor expansion of (acos a) in a 1.134 * [taylor]: Taking taylor expansion of a in a 1.135 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (acos a) a) 1/3)) in a 1.135 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.135 * [taylor]: Taking taylor expansion of -1 in a 1.136 * [taylor]: Taking taylor expansion of (pow (/ (acos a) a) 1/3) in a 1.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (acos a) a)))) in a 1.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (acos a) a))) in a 1.136 * [taylor]: Taking taylor expansion of 1/3 in a 1.136 * [taylor]: Taking taylor expansion of (log (/ (acos a) a)) in a 1.136 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.136 * [taylor]: Taking taylor expansion of (acos a) in a 1.136 * [taylor]: Taking taylor expansion of a in a 1.194 * [approximate]: Taking taylor expansion of (* (pow (* (acos (/ 1 a)) a) 1/3) (cbrt -1)) in (a) around 0 1.194 * [taylor]: Taking taylor expansion of (* (pow (* (acos (/ 1 a)) a) 1/3) (cbrt -1)) in a 1.194 * [taylor]: Taking taylor expansion of (pow (* (acos (/ 1 a)) a) 1/3) in a 1.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (acos (/ 1 a)) a)))) in a 1.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (acos (/ 1 a)) a))) in a 1.194 * [taylor]: Taking taylor expansion of 1/3 in a 1.194 * [taylor]: Taking taylor expansion of (log (* (acos (/ 1 a)) a)) in a 1.194 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.194 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.194 * [taylor]: Taking taylor expansion of a in a 1.195 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.195 * [taylor]: Taking taylor expansion of -1 in a 1.196 * [taylor]: Taking taylor expansion of (* (pow (* (acos (/ 1 a)) a) 1/3) (cbrt -1)) in a 1.196 * [taylor]: Taking taylor expansion of (pow (* (acos (/ 1 a)) a) 1/3) in a 1.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (acos (/ 1 a)) a)))) in a 1.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (acos (/ 1 a)) a))) in a 1.196 * [taylor]: Taking taylor expansion of 1/3 in a 1.196 * [taylor]: Taking taylor expansion of (log (* (acos (/ 1 a)) a)) in a 1.196 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.196 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.196 * [taylor]: Taking taylor expansion of a in a 1.197 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.197 * [taylor]: Taking taylor expansion of -1 in a 1.243 * [approximate]: Taking taylor expansion of (pow (* a (acos (/ -1 a))) 1/3) in (a) around 0 1.243 * [taylor]: Taking taylor expansion of (pow (* a (acos (/ -1 a))) 1/3) in a 1.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* a (acos (/ -1 a)))))) in a 1.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (* a (acos (/ -1 a))))) in a 1.244 * [taylor]: Taking taylor expansion of 1/3 in a 1.244 * [taylor]: Taking taylor expansion of (log (* a (acos (/ -1 a)))) in a 1.244 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.244 * [taylor]: Taking taylor expansion of a in a 1.244 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.244 * [taylor]: Taking taylor expansion of (pow (* a (acos (/ -1 a))) 1/3) in a 1.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* a (acos (/ -1 a)))))) in a 1.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (* a (acos (/ -1 a))))) in a 1.245 * [taylor]: Taking taylor expansion of 1/3 in a 1.245 * [taylor]: Taking taylor expansion of (log (* a (acos (/ -1 a)))) in a 1.245 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.245 * [taylor]: Taking taylor expansion of a in a 1.245 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.292 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.292 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (acos a) a) 1/3)) in (a) around 0 1.292 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (acos a) a) 1/3)) in a 1.292 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.292 * [taylor]: Taking taylor expansion of -1 in a 1.293 * [taylor]: Taking taylor expansion of (pow (/ (acos a) a) 1/3) in a 1.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (acos a) a)))) in a 1.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (acos a) a))) in a 1.293 * [taylor]: Taking taylor expansion of 1/3 in a 1.293 * [taylor]: Taking taylor expansion of (log (/ (acos a) a)) in a 1.293 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.293 * [taylor]: Taking taylor expansion of (acos a) in a 1.293 * [taylor]: Taking taylor expansion of a in a 1.293 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (acos a) a) 1/3)) in a 1.293 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.293 * [taylor]: Taking taylor expansion of -1 in a 1.294 * [taylor]: Taking taylor expansion of (pow (/ (acos a) a) 1/3) in a 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (acos a) a)))) in a 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (acos a) a))) in a 1.294 * [taylor]: Taking taylor expansion of 1/3 in a 1.294 * [taylor]: Taking taylor expansion of (log (/ (acos a) a)) in a 1.294 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.294 * [taylor]: Taking taylor expansion of (acos a) in a 1.294 * [taylor]: Taking taylor expansion of a in a 1.346 * [approximate]: Taking taylor expansion of (* (pow (* (acos (/ 1 a)) a) 1/3) (cbrt -1)) in (a) around 0 1.346 * [taylor]: Taking taylor expansion of (* (pow (* (acos (/ 1 a)) a) 1/3) (cbrt -1)) in a 1.346 * [taylor]: Taking taylor expansion of (pow (* (acos (/ 1 a)) a) 1/3) in a 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (acos (/ 1 a)) a)))) in a 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (acos (/ 1 a)) a))) in a 1.346 * [taylor]: Taking taylor expansion of 1/3 in a 1.346 * [taylor]: Taking taylor expansion of (log (* (acos (/ 1 a)) a)) in a 1.346 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.346 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.346 * [taylor]: Taking taylor expansion of a in a 1.347 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.347 * [taylor]: Taking taylor expansion of -1 in a 1.348 * [taylor]: Taking taylor expansion of (* (pow (* (acos (/ 1 a)) a) 1/3) (cbrt -1)) in a 1.348 * [taylor]: Taking taylor expansion of (pow (* (acos (/ 1 a)) a) 1/3) in a 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (acos (/ 1 a)) a)))) in a 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (acos (/ 1 a)) a))) in a 1.348 * [taylor]: Taking taylor expansion of 1/3 in a 1.348 * [taylor]: Taking taylor expansion of (log (* (acos (/ 1 a)) a)) in a 1.348 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.348 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.348 * [taylor]: Taking taylor expansion of a in a 1.349 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.349 * [taylor]: Taking taylor expansion of -1 in a 1.402 * [approximate]: Taking taylor expansion of (pow (* a (acos (/ -1 a))) 1/3) in (a) around 0 1.402 * [taylor]: Taking taylor expansion of (pow (* a (acos (/ -1 a))) 1/3) in a 1.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* a (acos (/ -1 a)))))) in a 1.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (* a (acos (/ -1 a))))) in a 1.402 * [taylor]: Taking taylor expansion of 1/3 in a 1.402 * [taylor]: Taking taylor expansion of (log (* a (acos (/ -1 a)))) in a 1.402 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.402 * [taylor]: Taking taylor expansion of a in a 1.402 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.403 * [taylor]: Taking taylor expansion of (pow (* a (acos (/ -1 a))) 1/3) in a 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* a (acos (/ -1 a)))))) in a 1.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (* a (acos (/ -1 a))))) in a 1.403 * [taylor]: Taking taylor expansion of 1/3 in a 1.403 * [taylor]: Taking taylor expansion of (log (* a (acos (/ -1 a)))) in a 1.403 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.403 * [taylor]: Taking taylor expansion of a in a 1.403 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.451 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.451 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (acos a) a) 1/3)) in (a) around 0 1.451 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (acos a) a) 1/3)) in a 1.451 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.451 * [taylor]: Taking taylor expansion of -1 in a 1.452 * [taylor]: Taking taylor expansion of (pow (/ (acos a) a) 1/3) in a 1.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (acos a) a)))) in a 1.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (acos a) a))) in a 1.452 * [taylor]: Taking taylor expansion of 1/3 in a 1.452 * [taylor]: Taking taylor expansion of (log (/ (acos a) a)) in a 1.452 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.452 * [taylor]: Taking taylor expansion of (acos a) in a 1.452 * [taylor]: Taking taylor expansion of a in a 1.453 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (acos a) a) 1/3)) in a 1.453 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.453 * [taylor]: Taking taylor expansion of -1 in a 1.453 * [taylor]: Taking taylor expansion of (pow (/ (acos a) a) 1/3) in a 1.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (acos a) a)))) in a 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (acos a) a))) in a 1.453 * [taylor]: Taking taylor expansion of 1/3 in a 1.453 * [taylor]: Taking taylor expansion of (log (/ (acos a) a)) in a 1.453 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.453 * [taylor]: Taking taylor expansion of (acos a) in a 1.454 * [taylor]: Taking taylor expansion of a in a 1.506 * [approximate]: Taking taylor expansion of (* (pow (* (acos (/ 1 a)) a) 1/3) (cbrt -1)) in (a) around 0 1.506 * [taylor]: Taking taylor expansion of (* (pow (* (acos (/ 1 a)) a) 1/3) (cbrt -1)) in a 1.506 * [taylor]: Taking taylor expansion of (pow (* (acos (/ 1 a)) a) 1/3) in a 1.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (acos (/ 1 a)) a)))) in a 1.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (acos (/ 1 a)) a))) in a 1.506 * [taylor]: Taking taylor expansion of 1/3 in a 1.506 * [taylor]: Taking taylor expansion of (log (* (acos (/ 1 a)) a)) in a 1.506 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.506 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.506 * [taylor]: Taking taylor expansion of a in a 1.507 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.507 * [taylor]: Taking taylor expansion of -1 in a 1.507 * [taylor]: Taking taylor expansion of (* (pow (* (acos (/ 1 a)) a) 1/3) (cbrt -1)) in a 1.507 * [taylor]: Taking taylor expansion of (pow (* (acos (/ 1 a)) a) 1/3) in a 1.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (acos (/ 1 a)) a)))) in a 1.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (acos (/ 1 a)) a))) in a 1.507 * [taylor]: Taking taylor expansion of 1/3 in a 1.507 * [taylor]: Taking taylor expansion of (log (* (acos (/ 1 a)) a)) in a 1.507 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.507 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.508 * [taylor]: Taking taylor expansion of a in a 1.508 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.508 * [taylor]: Taking taylor expansion of -1 in a 1.561 * [approximate]: Taking taylor expansion of (pow (* a (acos (/ -1 a))) 1/3) in (a) around 0 1.561 * [taylor]: Taking taylor expansion of (pow (* a (acos (/ -1 a))) 1/3) in a 1.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* a (acos (/ -1 a)))))) in a 1.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (* a (acos (/ -1 a))))) in a 1.561 * [taylor]: Taking taylor expansion of 1/3 in a 1.561 * [taylor]: Taking taylor expansion of (log (* a (acos (/ -1 a)))) in a 1.561 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.561 * [taylor]: Taking taylor expansion of a in a 1.561 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.562 * [taylor]: Taking taylor expansion of (pow (* a (acos (/ -1 a))) 1/3) in a 1.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* a (acos (/ -1 a)))))) in a 1.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (* a (acos (/ -1 a))))) in a 1.562 * [taylor]: Taking taylor expansion of 1/3 in a 1.562 * [taylor]: Taking taylor expansion of (log (* a (acos (/ -1 a)))) in a 1.563 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.563 * [taylor]: Taking taylor expansion of a in a 1.563 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.604 * * * [progress]: simplifying candidates 1.614 * [simplify]: Simplifying using # : (+ 1/3 1/3) (+ 1 1) (* (/ (neg (acos a)) a) (/ (neg (acos a)) a)) (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a))) (+ 1 1) (+ (log (cbrt (/ (neg (acos a)) a))) (log (cbrt (/ (neg (acos a)) a)))) (log (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (exp (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (* (/ (neg (acos a)) a) (/ (neg (acos a)) a)) (* (cbrt (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (cbrt (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a))))) (cbrt (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (* (* (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a))) (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (sqrt (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (sqrt (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (* (cbrt (neg (acos a))) (cbrt (neg (acos a)))) (* (cbrt a) (cbrt a)) (* (cbrt (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a)))) (cbrt (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a))))) (* 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(/ -1 (sqrt a))) (cbrt (/ (acos a) (sqrt a))) (cbrt -1) (cbrt (/ (acos a) a)) (cbrt (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (cbrt (/ (neg (cbrt (acos a))) (cbrt a))) (cbrt (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (cbrt (/ (neg (cbrt (acos a))) (sqrt a))) (cbrt (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (cbrt (/ (neg (cbrt (acos a))) a)) (cbrt (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (cbrt (/ (neg (sqrt (acos a))) (cbrt a))) (cbrt (/ (sqrt (acos a)) (sqrt a))) (cbrt (/ (neg (sqrt (acos a))) (sqrt a))) (cbrt (/ (sqrt (acos a)) 1)) (cbrt (/ (neg (sqrt (acos a))) a)) (cbrt (/ 1 (* (cbrt a) (cbrt a)))) (cbrt (/ (neg (acos a)) (cbrt a))) (cbrt (/ 1 (sqrt a))) (cbrt (/ (neg (acos a)) (sqrt a))) 1 (cbrt (/ (neg (acos a)) a)) 1 (cbrt (/ (neg (acos a)) a)) (cbrt (neg (acos a))) (cbrt (/ 1 a)) (cbrt (neg (acos a))) (cbrt a) (* (cbrt (cbrt (/ (neg (acos a)) a))) (cbrt (cbrt (/ (neg (acos a)) a)))) (cbrt (cbrt (/ (neg (acos a)) a))) (/ (neg (acos a)) a) (sqrt (cbrt (/ (neg (acos a)) a))) (sqrt (cbrt (/ (neg (acos a)) a))) (* (* (pow (cbrt -1) 2) (pow (/ 1 a) 2/3)) (pow (pow (acos a) 2) 1/3)) (* (* (pow (cbrt -1) 2) (pow (/ 1 a) 2/3)) (pow (pow (acos a) 2) 1/3)) (* (pow (/ -1 a) 2/3) (pow (pow (acos a) 2) 1/3)) (* (* (cbrt -1) (pow (/ 1 a) 1/3)) (pow (acos a) 1/3)) (* (* (cbrt -1) (pow (/ 1 a) 1/3)) (pow (acos a) 1/3)) (* (pow (/ -1 a) 1/3) (pow (acos a) 1/3)) (* (* (cbrt -1) (pow (/ 1 a) 1/3)) (pow (acos a) 1/3)) (* (* (cbrt -1) (pow (/ 1 a) 1/3)) (pow (acos a) 1/3)) (* (pow (/ -1 a) 1/3) (pow (acos a) 1/3)) (* (* (cbrt -1) (pow (/ 1 a) 1/3)) (pow (acos a) 1/3)) (* (* (cbrt -1) (pow (/ 1 a) 1/3)) (pow (acos a) 1/3)) (* (pow (/ -1 a) 1/3) (pow (acos a) 1/3)) 1.680 * * * [progress]: adding candidates to table 2.460 * [progress]: [Phase 3 of 3] Extracting. 2.460 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.461 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (neg (acos a))) a) 2.461 * * * * [regimes]: Trying to branch on (/ a (neg (acos a))) from (# # # # # # # # # # # #) 2.496 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # #) 2.527 * * * [regime]: Found split indices: #