17.970 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (/ a (neg (acos a))) 0.023 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (/ a (neg (acos a))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [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 0.035 * [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 0.043 * [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 0.049 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.049 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.049 * [taylor]: Taking taylor expansion of a in a 0.049 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.049 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.049 * [taylor]: Taking taylor expansion of a in a 0.049 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.065 * * * [progress]: simplifying candidates 0.065 * [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))) 0.070 * * [simplify]: iteration 0 : 164 enodes (cost 371 ) 0.073 * * [simplify]: iteration 1 : 483 enodes (cost 359 ) 0.080 * * [simplify]: iteration 2 : 1375 enodes (cost 359 ) 0.100 * * [simplify]: iteration 3 : 3633 enodes (cost 358 ) 0.154 * * [simplify]: iteration 4 : 5001 enodes (cost 358 ) 0.156 * [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))) 0.156 * * * [progress]: adding candidates to table 0.237 * * [progress]: iteration 2 / 4 0.237 * * * [progress]: picking best candidate 0.249 * * * * [pick]: Picked # 0.249 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.265 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.286 * * * [progress]: generating series expansions 0.286 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.286 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.286 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.286 * [taylor]: Taking taylor expansion of -1 in a 0.286 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.286 * [taylor]: Taking taylor expansion of a in a 0.286 * [taylor]: Taking taylor expansion of (acos a) in a 0.286 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.286 * [taylor]: Taking taylor expansion of -1 in a 0.286 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.286 * [taylor]: Taking taylor expansion of a in a 0.286 * [taylor]: Taking taylor expansion of (acos a) in a 0.294 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.294 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.294 * [taylor]: Taking taylor expansion of -1 in a 0.294 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.294 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.294 * [taylor]: Taking taylor expansion of a in a 0.294 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.294 * [taylor]: Taking taylor expansion of -1 in a 0.294 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.294 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.294 * [taylor]: Taking taylor expansion of a in a 0.300 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.300 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.300 * [taylor]: Taking taylor expansion of a in a 0.300 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.301 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.301 * [taylor]: Taking taylor expansion of a in a 0.301 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.310 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.310 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.310 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.310 * [taylor]: Taking taylor expansion of -1 in a 0.310 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.310 * [taylor]: Taking taylor expansion of (acos a) in a 0.310 * [taylor]: Taking taylor expansion of a in a 0.310 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.310 * [taylor]: Taking taylor expansion of -1 in a 0.310 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.310 * [taylor]: Taking taylor expansion of (acos a) in a 0.310 * [taylor]: Taking taylor expansion of a in a 0.323 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.323 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.323 * [taylor]: Taking taylor expansion of -1 in a 0.323 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.323 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.323 * [taylor]: Taking taylor expansion of a in a 0.323 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.323 * [taylor]: Taking taylor expansion of -1 in a 0.323 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.324 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.324 * [taylor]: Taking taylor expansion of a in a 0.335 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.335 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.335 * [taylor]: Taking taylor expansion of a in a 0.335 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.335 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.335 * [taylor]: Taking taylor expansion of a in a 0.335 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.342 * * * [progress]: simplifying candidates 0.346 * [simplify]: Simplifying using # : (neg 1) (neg (- (log (neg (acos a))) (log a))) (neg (log (/ (neg (acos a)) a))) (- 0 (- (log (neg (acos a))) (log a))) (- 0 (log (/ (neg (acos a)) a))) (- (log 1) (- (log (neg (acos a))) (log a))) (- (log 1) (log (/ (neg (acos a)) a))) (log (/ 1 (/ (neg (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) (/ (cbrt (neg (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (neg (acos a))) (cbrt (neg (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (neg (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (neg (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (neg (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (neg (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (neg (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (neg (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (neg (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (neg (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (neg (acos a)) (sqrt a))) (/ (* (cbrt 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(cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (neg 1) (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (neg 1) 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (neg (cbrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (neg (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (neg (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (neg (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (neg (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (neg (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (neg (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 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-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))) (log (/ (neg (acos a)) a)) (log (/ (neg (acos a)) a)) (exp (/ (neg (acos a)) a)) (pow (/ (neg (acos a)) a) 3) (* (cbrt (/ (neg (acos a)) a)) (cbrt (/ (neg (acos a)) a))) (cbrt (/ (neg (acos a)) a)) (pow (/ (neg (acos a)) a) 3) (sqrt (/ (neg (acos a)) a)) (sqrt (/ (neg (acos a)) a)) (acos a) (neg a) 0 (/ (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)))) (/ (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))) (/ (sqrt (neg (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (neg (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (neg (acos a)) (sqrt a)) 1 (/ (neg (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -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)))) (/ (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))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (neg (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (neg (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (neg (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (neg (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (neg (sqrt (acos a))) (sqrt a)) (sqrt (acos a)) (/ (neg (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (neg (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (neg (acos a)) (sqrt a)) 1 (/ (neg (acos a)) a) (/ 1 a) (/ a (neg (acos a))) (/ (acos a) a) (/ (neg (acos a)) (* (cbrt a) (cbrt a))) (/ (neg (acos a)) (sqrt a)) (neg (acos a)) (/ a (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 (neg (acos a))) (/ a (neg (acos a))) (/ a (neg (acos a))) (/ (neg (acos a)) a) (/ (neg (acos a)) a) (/ (neg (acos a)) a) 0.415 * * * [progress]: adding candidates to table 0.635 * * [progress]: iteration 3 / 4 0.635 * * * [progress]: picking best candidate 0.650 * * * * [pick]: Picked # 0.650 * * * [progress]: localizing error 0.657 * * * [progress]: generating rewritten candidates 0.657 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.666 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.674 * * * [progress]: generating series expansions 0.674 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.674 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.674 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.674 * [taylor]: Taking taylor expansion of -1 in a 0.674 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.674 * [taylor]: Taking taylor expansion of a in a 0.674 * [taylor]: Taking taylor expansion of (acos a) in a 0.674 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.674 * [taylor]: Taking taylor expansion of -1 in a 0.674 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.674 * [taylor]: Taking taylor expansion of a in a 0.674 * [taylor]: Taking taylor expansion of (acos a) in a 0.681 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.681 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.682 * [taylor]: Taking taylor expansion of -1 in a 0.682 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.682 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.682 * [taylor]: Taking taylor expansion of a in a 0.682 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.682 * [taylor]: Taking taylor expansion of -1 in a 0.682 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.682 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.682 * [taylor]: Taking taylor expansion of a in a 0.688 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.688 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.688 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.688 * [taylor]: Taking taylor expansion of a in a 0.688 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.689 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.689 * [taylor]: Taking taylor expansion of a in a 0.689 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.697 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.697 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 0.697 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 0.697 * [taylor]: Taking taylor expansion of (acos a) in a 0.697 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 0.697 * [taylor]: Taking taylor expansion of (acos a) in a 0.699 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 0.699 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 0.699 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.699 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 0.699 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.700 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 0.700 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 0.700 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.700 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 0.700 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.702 * * * [progress]: simplifying candidates 0.703 * [simplify]: Simplifying using # : (- (+ (log -1) (neg (log (acos a)))) (neg (log a))) (- (+ (log -1) (neg (log (acos a)))) (- 0 (log a))) (- (+ (log -1) (neg (log (acos a)))) (- (log 1) (log a))) (- (+ (log -1) (neg (log (acos a)))) (log (/ 1 a))) (- (+ (log -1) (- 0 (log (acos a)))) (neg (log a))) (- (+ (log -1) (- 0 (log (acos a)))) (- 0 (log a))) (- (+ (log -1) (- 0 (log (acos a)))) (- (log 1) (log a))) (- (+ (log -1) (- 0 (log (acos a)))) (log (/ 1 a))) (- (+ (log -1) (- (log 1) (log (acos a)))) (neg (log a))) (- (+ (log -1) (- (log 1) (log (acos a)))) (- 0 (log a))) (- (+ (log -1) (- (log 1) (log (acos a)))) (- (log 1) (log a))) (- (+ (log -1) (- (log 1) (log (acos a)))) (log (/ 1 a))) (- (+ (log -1) (log (/ 1 (acos a)))) (neg (log a))) (- (+ (log -1) (log (/ 1 (acos a)))) (- 0 (log a))) (- (+ (log -1) (log (/ 1 (acos a)))) (- (log 1) (log a))) (- (+ (log -1) (log (/ 1 (acos a)))) (log (/ 1 a))) (- (log (* -1 (/ 1 (acos a)))) (neg (log a))) (- (log (* -1 (/ 1 (acos a)))) (- 0 (log a))) (- (log (* -1 (/ 1 (acos a)))) (- (log 1) (log a))) (- (log (* -1 (/ 1 (acos a)))) (log (/ 1 a))) (log (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (exp (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (/ (* (* (* -1 -1) -1) (/ (* (* 1 1) 1) (* (* (acos a) (acos a)) (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (* -1 -1) -1) (/ (* (* 1 1) 1) (* (* (acos a) (acos a)) (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (* -1 -1) -1) (* (* (/ 1 (acos a)) (/ 1 (acos a))) (/ 1 (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (* -1 -1) -1) (* (* (/ 1 (acos a)) (/ 1 (acos a))) (/ 1 (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (* -1 (/ 1 (acos a))) (* -1 (/ 1 (acos a)))) (* -1 (/ 1 (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (* -1 (/ 1 (acos a))) (* -1 (/ 1 (acos a)))) (* -1 (/ 1 (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a)))) (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (* (* (/ (* -1 (/ 1 (acos a))) (/ 1 a)) (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (sqrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (sqrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (neg (* -1 (/ 1 (acos a)))) (neg (/ 1 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)) (/ (/ 1 (acos a)) (/ (cbrt 1) a)) (/ -1 (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (/ 1 (acos a)) (/ (sqrt 1) (cbrt a))) (/ -1 (/ (sqrt 1) (sqrt a))) (/ (/ 1 (acos a)) (/ (sqrt 1) (sqrt a))) (/ -1 (/ (sqrt 1) 1)) (/ (/ 1 (acos a)) (/ (sqrt 1) a)) (/ -1 (/ 1 (* (cbrt a) (cbrt a)))) (/ (/ 1 (acos a)) (/ 1 (cbrt a))) (/ -1 (/ 1 (sqrt a))) (/ (/ 1 (acos a)) (/ 1 (sqrt a))) (/ -1 (/ 1 1)) (/ (/ 1 (acos a)) (/ 1 a)) (/ -1 1) (/ (/ 1 (acos a)) (/ 1 a)) (/ -1 1) (/ (/ 1 (acos a)) (/ 1 a)) (/ 1 (/ 1 a)) (/ (/ 1 a) (* -1 (/ 1 (acos a)))) (/ (/ 1 (acos a)) (/ 1 a)) (/ (* -1 (/ 1 (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (* -1 (/ 1 (acos a))) (sqrt (/ 1 a))) (/ (* -1 (/ 1 (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (* -1 (/ 1 (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (* -1 (/ 1 (acos a))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (* -1 (/ 1 (acos a))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (* -1 (/ 1 (acos a))) (/ (sqrt 1) (sqrt a))) (/ (* -1 (/ 1 (acos a))) (/ (sqrt 1) 1)) (/ (* -1 (/ 1 (acos a))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (* -1 (/ 1 (acos a))) (/ 1 (sqrt a))) (/ (* -1 (/ 1 (acos a))) (/ 1 1)) (/ (* -1 (/ 1 (acos a))) 1) (/ (* -1 (/ 1 (acos a))) 1) (/ (/ 1 a) (/ 1 (acos a))) (/ (* -1 (/ 1 (acos a))) 1) (* (/ 1 a) (acos a)) (* (/ 1 a) (acos a)) (neg 1) (neg (log (acos a))) (- 0 (log (acos a))) (- (log 1) (log (acos a))) (log (/ 1 (acos a))) (exp (/ 1 (acos a))) (/ (* (* 1 1) 1) (* (* (acos a) (acos a)) (acos a))) (* (cbrt (/ 1 (acos a))) (cbrt (/ 1 (acos a)))) (cbrt (/ 1 (acos a))) (* (* (/ 1 (acos a)) (/ 1 (acos a))) (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (neg 1) (neg (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)) (/ (sqrt 1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt 1) (cbrt (acos a))) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) 1) (/ (sqrt 1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 1) (/ 1 (acos a)) (/ 1 (acos a)) (/ (acos a) 1) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 1) (/ (acos a) (cbrt 1)) (/ (acos a) (sqrt 1)) (/ (acos a) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) 0.709 * * [simplify]: iteration 0 : 474 enodes (cost 616 ) 0.719 * * [simplify]: iteration 1 : 2446 enodes (cost 473 ) 0.752 * * [simplify]: iteration 2 : 5001 enodes (cost 428 ) 0.756 * [simplify]: Simplified to: (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (pow (exp (/ -1 (acos a))) a) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (* (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a)))) (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (pow (* (/ -1 (acos a)) a) 3) (sqrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (sqrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (/ 1 (acos a)) (/ -1 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 a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (* -1 (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ a (acos a)) (* -1 (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (* -1 (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ a (acos a)) (* -1 (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (* -1 (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ a (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) a (* -1 (/ (acos a) a)) (/ a (acos a)) (/ (/ (/ -1 (acos a)) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ -1 (* (sqrt (/ 1 a)) (acos a))) (* (/ -1 (acos a)) (* (cbrt a) (cbrt a))) (* (/ -1 (acos a)) (sqrt a)) (/ -1 (acos a)) (* (/ -1 (acos a)) (* (cbrt a) (cbrt a))) (* (/ -1 (acos a)) (sqrt a)) (/ -1 (acos a)) (* (/ -1 (acos a)) (* (cbrt a) (cbrt a))) (* (/ -1 (acos a)) (sqrt a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ (acos a) a) (/ -1 (acos a)) (/ (acos a) a) (/ (acos a) a) -1 (log (/ 1 (acos a))) (log (/ 1 (acos a))) (log (/ 1 (acos a))) (log (/ 1 (acos a))) (exp (/ 1 (acos a))) (/ 1 (pow (acos a) 3)) (* (cbrt (/ 1 (acos a))) (cbrt (/ 1 (acos a)))) (cbrt (/ 1 (acos a))) (/ 1 (pow (acos a) 3)) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) -1 (neg (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 (acos a)) (acos a) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (acos a) (acos a) (acos a) (* (/ -1 (acos a)) a) (* (/ -1 (acos a)) a) (* (/ -1 (acos a)) a) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) 0.756 * * * [progress]: adding candidates to table 0.848 * * [progress]: iteration 4 / 4 0.848 * * * [progress]: picking best candidate 0.857 * * * * [pick]: Picked # 0.857 * * * [progress]: localizing error 0.868 * * * [progress]: generating rewritten candidates 0.868 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1 2) 0.870 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.875 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.894 * * * [progress]: generating series expansions 0.894 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1 2) 0.894 * [approximate]: Taking taylor expansion of (pow (acos a) 3) in (a) around 0 0.894 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 0.894 * [taylor]: Taking taylor expansion of (acos a) in a 0.894 * [taylor]: Taking taylor expansion of (pow (acos a) 3) in a 0.894 * [taylor]: Taking taylor expansion of (acos a) in a 0.903 * [approximate]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in (a) around 0 0.903 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 0.903 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.903 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 3) in a 0.903 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.912 * [approximate]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in (a) around 0 0.912 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 0.912 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.912 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 3) in a 0.912 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.926 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.926 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 0.926 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 0.926 * [taylor]: Taking taylor expansion of (acos a) in a 0.927 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 0.927 * [taylor]: Taking taylor expansion of (acos a) in a 0.928 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 0.928 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 0.928 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.928 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 0.928 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.930 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 0.930 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 0.930 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.930 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 0.930 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.931 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.932 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.932 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.932 * [taylor]: Taking taylor expansion of -1 in a 0.932 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.932 * [taylor]: Taking taylor expansion of a in a 0.932 * [taylor]: Taking taylor expansion of (acos a) in a 0.932 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.932 * [taylor]: Taking taylor expansion of -1 in a 0.932 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.932 * [taylor]: Taking taylor expansion of a in a 0.932 * [taylor]: Taking taylor expansion of (acos a) in a 0.939 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.939 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.939 * [taylor]: Taking taylor expansion of -1 in a 0.939 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.939 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.939 * [taylor]: Taking taylor expansion of a in a 0.940 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.940 * [taylor]: Taking taylor expansion of -1 in a 0.940 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.940 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.940 * [taylor]: Taking taylor expansion of a in a 0.946 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.946 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.946 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.946 * [taylor]: Taking taylor expansion of a in a 0.946 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.947 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.947 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.947 * [taylor]: Taking taylor expansion of a in a 0.947 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.955 * * * [progress]: simplifying candidates 0.957 * [simplify]: Simplifying using # : (* (log (acos a)) 3) (* (log (acos a)) 3) (* 1 3) (pow (acos a) (* (cbrt 3) (cbrt 3))) (pow (acos a) (sqrt 3)) (pow (acos a) 1) (pow (* (cbrt (acos a)) (cbrt (acos a))) 3) (pow (cbrt (acos a)) 3) (pow (sqrt (acos a)) 3) (pow (sqrt (acos a)) 3) (pow 1 3) (pow (acos a) 3) (* (acos a) (acos a)) (log (pow (acos a) 3)) (exp (pow (acos a) 3)) (* (cbrt (pow (acos a) 3)) (cbrt (pow (acos a) 3))) (cbrt (pow (acos a) 3)) (* (* (pow (acos a) 3) (pow (acos a) 3)) (pow (acos a) 3)) (pow (* (cbrt (acos a)) (cbrt (acos a))) 3) (pow (cbrt (acos a)) 3) (pow (sqrt (acos a)) 3) (pow (sqrt (acos a)) 3) (pow 1 3) (pow (acos a) 3) (* (acos a) (acos a)) (sqrt (pow (acos a) 3)) (sqrt (pow (acos a) 3)) (pow (acos a) (/ 3 2)) (pow (acos a) (/ 3 2)) (log (cbrt (/ 1 (pow (acos a) 3)))) (exp (cbrt (/ 1 (pow (acos a) 3)))) (cbrt (* (cbrt (/ 1 (pow (acos a) 3))) (cbrt (/ 1 (pow (acos a) 3))))) (cbrt (cbrt (/ 1 (pow (acos a) 3)))) (cbrt (sqrt (/ 1 (pow (acos a) 3)))) (cbrt (sqrt (/ 1 (pow (acos a) 3)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt (acos a)) (cbrt (acos a))) 3))) (cbrt (/ (cbrt 1) (pow (cbrt (acos a)) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt (acos a)) 3))) (cbrt (/ (cbrt 1) (pow (sqrt (acos a)) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow 1 3))) (cbrt (/ (cbrt 1) (pow (acos a) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (acos a) (acos a)))) (cbrt (/ (cbrt 1) (acos a))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (acos a) 3)) (cbrt (pow (acos a) 3))))) (cbrt (/ (cbrt 1) (cbrt (pow (acos a) 3)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt (acos a)) (cbrt (acos a))) 3))) (cbrt (/ (cbrt 1) (pow (cbrt (acos a)) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt (acos a)) 3))) (cbrt (/ (cbrt 1) (pow (sqrt (acos a)) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow 1 3))) (cbrt (/ (cbrt 1) (pow (acos a) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (acos a))) (cbrt (/ (cbrt 1) (* (acos a) (acos a)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (acos a) 3)))) (cbrt (/ (cbrt 1) (sqrt (pow (acos a) 3)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) (pow (acos a) 3))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (pow (acos a) (/ 3 2)))) (cbrt (/ (cbrt 1) (pow (acos a) (/ 3 2)))) (cbrt (/ (sqrt 1) (pow (* (cbrt (acos a)) (cbrt (acos a))) 3))) (cbrt (/ (sqrt 1) (pow (cbrt (acos a)) 3))) (cbrt (/ (sqrt 1) (pow (sqrt (acos a)) 3))) (cbrt (/ (sqrt 1) (pow (sqrt (acos a)) 3))) (cbrt (/ (sqrt 1) (pow 1 3))) (cbrt (/ (sqrt 1) (pow (acos a) 3))) (cbrt (/ (sqrt 1) (* (acos a) (acos a)))) (cbrt (/ (sqrt 1) (acos a))) (cbrt (/ (sqrt 1) (* (cbrt (pow (acos a) 3)) (cbrt (pow (acos a) 3))))) (cbrt (/ (sqrt 1) (cbrt (pow (acos a) 3)))) (cbrt (/ (sqrt 1) (pow (* (cbrt (acos a)) (cbrt (acos a))) 3))) (cbrt (/ (sqrt 1) (pow (cbrt (acos a)) 3))) (cbrt (/ (sqrt 1) (pow (sqrt (acos a)) 3))) (cbrt (/ (sqrt 1) (pow (sqrt (acos a)) 3))) (cbrt (/ (sqrt 1) (pow 1 3))) (cbrt (/ (sqrt 1) (pow (acos a) 3))) (cbrt (/ (sqrt 1) (acos a))) (cbrt (/ (sqrt 1) (* (acos a) (acos a)))) (cbrt (/ (sqrt 1) (sqrt (pow (acos a) 3)))) (cbrt (/ (sqrt 1) (sqrt (pow (acos a) 3)))) (cbrt (/ (sqrt 1) 1)) (cbrt (/ (sqrt 1) (pow (acos a) 3))) (cbrt (/ (sqrt 1) (pow (acos a) (/ 3 2)))) (cbrt (/ (sqrt 1) (pow (acos a) (/ 3 2)))) (cbrt (/ 1 (pow (* (cbrt (acos a)) (cbrt (acos a))) 3))) (cbrt (/ 1 (pow (cbrt (acos a)) 3))) (cbrt (/ 1 (pow (sqrt (acos a)) 3))) (cbrt (/ 1 (pow (sqrt (acos a)) 3))) (cbrt (/ 1 (pow 1 3))) (cbrt (/ 1 (pow (acos a) 3))) (cbrt (/ 1 (* (acos a) (acos a)))) (cbrt (/ 1 (acos a))) (cbrt (/ 1 (* (cbrt (pow (acos a) 3)) (cbrt (pow (acos a) 3))))) (cbrt (/ 1 (cbrt (pow (acos a) 3)))) (cbrt (/ 1 (pow (* (cbrt (acos a)) (cbrt (acos a))) 3))) (cbrt (/ 1 (pow (cbrt (acos a)) 3))) (cbrt (/ 1 (pow (sqrt (acos a)) 3))) (cbrt (/ 1 (pow (sqrt (acos a)) 3))) (cbrt (/ 1 (pow 1 3))) (cbrt (/ 1 (pow (acos a) 3))) (cbrt (/ 1 (acos a))) (cbrt (/ 1 (* (acos a) (acos a)))) (cbrt (/ 1 (sqrt (pow (acos a) 3)))) (cbrt (/ 1 (sqrt (pow (acos a) 3)))) (cbrt (/ 1 1)) (cbrt (/ 1 (pow (acos a) 3))) (cbrt (/ 1 (pow (acos a) (/ 3 2)))) (cbrt (/ 1 (pow (acos a) (/ 3 2)))) (cbrt 1) (cbrt (/ 1 (pow (acos a) 3))) (cbrt 1) (cbrt (/ 1 (pow (acos a) 3))) (cbrt 1) (cbrt (pow (acos a) 3)) (* (cbrt (cbrt (/ 1 (pow (acos a) 3)))) (cbrt (cbrt (/ 1 (pow (acos a) 3))))) (cbrt (cbrt (/ 1 (pow (acos a) 3)))) (* (* (cbrt (/ 1 (pow (acos a) 3))) (cbrt (/ 1 (pow (acos a) 3)))) (cbrt (/ 1 (pow (acos a) 3)))) (sqrt (cbrt (/ 1 (pow (acos a) 3)))) (sqrt (cbrt (/ 1 (pow (acos a) 3)))) (- (+ (log -1) (log (cbrt (/ 1 (pow (acos a) 3))))) (neg (log a))) (- (+ (log -1) (log (cbrt (/ 1 (pow (acos a) 3))))) (- 0 (log a))) (- (+ (log -1) (log (cbrt (/ 1 (pow (acos a) 3))))) (- (log 1) (log a))) (- (+ (log -1) (log (cbrt (/ 1 (pow (acos a) 3))))) (log (/ 1 a))) (- (log (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (neg (log a))) (- (log (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (- 0 (log a))) (- (log (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (- (log 1) (log a))) (- (log (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (log (/ 1 a))) (log (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))) (exp (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))) (/ (* (* (* -1 -1) -1) (/ 1 (pow (acos a) 3))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (* -1 -1) -1) (/ 1 (pow (acos a) 3))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))) (cbrt (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a)))) (cbrt (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))) (* (* (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a)) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))) (sqrt (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))) (sqrt (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))) (neg (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (neg (/ 1 a)) (/ -1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (pow (acos a) 3))) (cbrt (/ 1 a))) (/ -1 (sqrt (/ 1 a))) (/ (cbrt (/ 1 (pow (acos a) 3))) (sqrt (/ 1 a))) (/ -1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ (cbrt 1) (cbrt a))) (/ -1 (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ (cbrt 1) (sqrt a))) (/ -1 (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ (cbrt 1) a)) (/ -1 (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ (sqrt 1) (cbrt a))) (/ -1 (/ (sqrt 1) (sqrt a))) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ (sqrt 1) (sqrt a))) (/ -1 (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ (sqrt 1) a)) (/ -1 (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ 1 (cbrt a))) (/ -1 (/ 1 (sqrt a))) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ 1 (sqrt a))) (/ -1 (/ 1 1)) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ 1 a)) (/ -1 1) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ 1 a)) (/ -1 1) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ 1 a)) (/ 1 (/ 1 a)) (/ (/ 1 a) (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (/ (cbrt (/ 1 (pow (acos a) 3))) (/ 1 a)) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (sqrt (/ 1 a))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ (sqrt 1) (sqrt a))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ (sqrt 1) 1)) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 (sqrt a))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 1)) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) 1) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) 1) (/ (/ 1 a) (cbrt (/ 1 (pow (acos a) 3)))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) 1) (* (/ 1 a) (cbrt (pow (acos a) 3))) (pow (acos a) 3) (pow (acos a) 3) (pow (acos a) 3) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.965 * * [simplify]: iteration 0 : 485 enodes (cost 1017 ) 0.977 * * [simplify]: iteration 1 : 2714 enodes (cost 804 ) 1.016 * * [simplify]: iteration 2 : 5001 enodes (cost 780 ) 1.021 * [simplify]: Simplified to: (log (pow (acos a) 3)) (log (pow (acos a) 3)) 3 (pow (acos a) (* (cbrt 3) (cbrt 3))) (pow (acos a) (sqrt 3)) (acos a) (pow (acos a) 2) (acos a) (pow (acos a) 3/2) (pow (acos a) 3/2) 1 (pow (acos a) 3) (pow (acos a) 2) (log (pow (acos a) 3)) (exp (pow (acos a) 3)) (pow (acos a) 2) (acos a) (pow (pow (acos a) 3) 3) (pow (acos a) 2) (acos a) (pow (acos a) 3/2) (pow (acos a) 3/2) 1 (pow (acos a) 3) (pow (acos a) 2) (sqrt (pow (acos a) 3)) (sqrt (pow (acos a) 3)) (pow (acos a) 3/2) (pow (acos a) 3/2) (log (cbrt (/ 1 (pow (acos a) 3)))) (exp (cbrt (/ 1 (pow (acos a) 3)))) (cbrt (* (cbrt (/ 1 (pow (acos a) 3))) (cbrt (/ 1 (pow (acos a) 3))))) (cbrt (cbrt (/ 1 (pow (acos a) 3)))) (cbrt (sqrt (/ 1 (pow 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a) 3)))) -1 (* a (cbrt (/ 1 (pow (acos a) 3)))) -1 (* a (cbrt (/ 1 (pow (acos a) 3)))) a (/ (/ 1 a) (* -1 (cbrt (/ 1 (pow (acos a) 3))))) (* a (cbrt (/ 1 (pow (acos a) 3)))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (sqrt (/ 1 a))) (* (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (* (cbrt a) (cbrt a))) (* (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (sqrt a)) (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (* (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (* (cbrt a) (cbrt a))) (* (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (sqrt a)) (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (* (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (* (cbrt a) (cbrt a))) (* (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (sqrt a)) (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (/ (/ 1 a) (cbrt (/ 1 (pow (acos a) 3)))) (/ (cbrt (/ 1 (pow (acos a) 3))) -1) (/ (acos a) a) (pow (acos a) 3) (pow (acos a) 3) (pow (acos a) 3) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 1.022 * * * [progress]: adding candidates to table 1.168 * [progress]: [Phase 3 of 3] Extracting. 1.168 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.168 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (neg (acos a))) a) 1.168 * * * * [regimes]: Trying to branch on (/ a (neg (acos a))) from (# # # # # # #) 1.197 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 1.219 * * * [regime]: Found split indices: #