7.708 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.022 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (/ a (- (acos a))) 0.022 * * [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 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 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 0.036 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.036 * [taylor]: Taking taylor expansion of -1 in a 0.036 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.036 * [taylor]: Taking taylor expansion of a in a 0.036 * [taylor]: Taking taylor expansion of (acos a) in a 0.044 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.044 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.044 * [taylor]: Taking taylor expansion of -1 in a 0.044 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.044 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.044 * [taylor]: Taking taylor expansion of a in a 0.044 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.044 * [taylor]: Taking taylor expansion of -1 in a 0.044 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.044 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.045 * [taylor]: Taking taylor expansion of a in a 0.051 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.051 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.051 * [taylor]: Taking taylor expansion of a in a 0.051 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.051 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.051 * [taylor]: Taking taylor expansion of a in a 0.051 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.061 * * * [progress]: simplifying candidates 0.062 * [simplify]: Simplifying using # : (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.066 * * [simplify]: iteration 0 : 164 enodes (cost 376 ) 0.070 * * [simplify]: iteration 1 : 491 enodes (cost 364 ) 0.078 * * [simplify]: iteration 2 : 1440 enodes (cost 359 ) 0.101 * * [simplify]: iteration 3 : 3702 enodes (cost 358 ) 0.160 * * [simplify]: iteration 4 : 5001 enodes (cost 358 ) 0.162 * [simplify]: Simplified to: (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (* -1 a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (* -1 (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (* -1 a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (* -1 a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.162 * * * [progress]: adding candidates to table 0.267 * * [progress]: iteration 2 / 4 0.267 * * * [progress]: picking best candidate 0.282 * * * * [pick]: Picked # 0.282 * * * [progress]: localizing error 0.288 * * * [progress]: generating rewritten candidates 0.288 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.292 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.316 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.316 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.316 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.316 * [taylor]: Taking taylor expansion of -1 in a 0.316 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.316 * [taylor]: Taking taylor expansion of (acos a) in a 0.316 * [taylor]: Taking taylor expansion of a in a 0.316 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.316 * [taylor]: Taking taylor expansion of -1 in a 0.316 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.316 * [taylor]: Taking taylor expansion of (acos a) in a 0.316 * [taylor]: Taking taylor expansion of a in a 0.331 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.331 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.331 * [taylor]: Taking taylor expansion of -1 in a 0.331 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.331 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.331 * [taylor]: Taking taylor expansion of a in a 0.331 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.331 * [taylor]: Taking taylor expansion of -1 in a 0.331 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.331 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.331 * [taylor]: Taking taylor expansion of a in a 0.343 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.343 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.343 * [taylor]: Taking taylor expansion of a in a 0.343 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.343 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.343 * [taylor]: Taking taylor expansion of a in a 0.343 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.351 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.351 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.351 * [taylor]: Taking taylor expansion of -1 in a 0.351 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.351 * [taylor]: Taking taylor expansion of a in a 0.351 * [taylor]: Taking taylor expansion of (acos a) in a 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.351 * [taylor]: Taking taylor expansion of -1 in a 0.351 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.351 * [taylor]: Taking taylor expansion of a in a 0.351 * [taylor]: Taking taylor expansion of (acos a) in a 0.358 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.358 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.358 * [taylor]: Taking taylor expansion of -1 in a 0.358 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.358 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.358 * [taylor]: Taking taylor expansion of a in a 0.359 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.359 * [taylor]: Taking taylor expansion of -1 in a 0.359 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.359 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.359 * [taylor]: Taking taylor expansion of a in a 0.365 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.365 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.365 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.365 * [taylor]: Taking taylor expansion of a in a 0.365 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.366 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.366 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.366 * [taylor]: Taking taylor expansion of a in a 0.366 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.376 * * * [progress]: simplifying candidates 0.379 * [simplify]: Simplifying using # : (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ 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(acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (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)) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (* 1 (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (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)) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (* 1 (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 0.453 * * * [progress]: adding candidates to table 0.728 * * [progress]: iteration 3 / 4 0.728 * * * [progress]: picking best candidate 0.748 * * * * [pick]: Picked # 0.748 * * * [progress]: localizing error 0.754 * * * [progress]: generating rewritten candidates 0.754 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.759 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.795 * * * [progress]: generating series expansions 0.795 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.795 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.795 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.795 * [taylor]: Taking taylor expansion of -1 in a 0.795 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.795 * [taylor]: Taking taylor expansion of (acos a) in a 0.795 * [taylor]: Taking taylor expansion of a in a 0.795 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.795 * [taylor]: Taking taylor expansion of -1 in a 0.795 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.795 * [taylor]: Taking taylor expansion of (acos a) in a 0.795 * [taylor]: Taking taylor expansion of a in a 0.809 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.809 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.809 * [taylor]: Taking taylor expansion of -1 in a 0.809 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.809 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.809 * [taylor]: Taking taylor expansion of a in a 0.809 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.809 * [taylor]: Taking taylor expansion of -1 in a 0.809 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.809 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.809 * [taylor]: Taking taylor expansion of a in a 0.821 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.821 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.821 * [taylor]: Taking taylor expansion of a in a 0.821 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.821 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.821 * [taylor]: Taking taylor expansion of a in a 0.821 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.829 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.829 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.829 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.829 * [taylor]: Taking taylor expansion of -1 in a 0.829 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.829 * [taylor]: Taking taylor expansion of a in a 0.829 * [taylor]: Taking taylor expansion of (acos a) in a 0.830 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.830 * [taylor]: Taking taylor expansion of -1 in a 0.830 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.830 * [taylor]: Taking taylor expansion of a in a 0.830 * [taylor]: Taking taylor expansion of (acos a) in a 0.837 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.837 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.837 * [taylor]: Taking taylor expansion of -1 in a 0.837 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.837 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.837 * [taylor]: Taking taylor expansion of a in a 0.838 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.838 * [taylor]: Taking taylor expansion of -1 in a 0.838 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.838 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.838 * [taylor]: Taking taylor expansion of a in a 0.845 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.845 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.845 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.845 * [taylor]: Taking taylor expansion of a in a 0.845 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.845 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.845 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.845 * [taylor]: Taking taylor expansion of a in a 0.845 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.854 * * * [progress]: simplifying candidates 0.859 * [simplify]: Simplifying using # : (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt 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a))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt (sqrt 1)) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt (sqrt 1)) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt (sqrt 1)) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt (sqrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt (- (acos a))) 1)) (/ (cbrt (sqrt 1)) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (sqrt 1)) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt a))) (/ (cbrt (sqrt 1)) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 1)) (/ (cbrt (sqrt 1)) (/ (- (acos a)) a)) (/ (* (cbrt (sqrt 1)) (cbrt 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a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* 1 (cbrt a)) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (* (/ 1 (cbrt (acos a))) a) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (* 1 (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (* (/ 1 (sqrt (acos a))) a) (* -1 (* (cbrt a) (cbrt a))) (/ (* 1 (cbrt a)) (acos a)) (* -1 (sqrt a)) (/ (* 1 (sqrt a)) (acos a)) -1 (* (/ 1 (acos a)) a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* 1 (cbrt a)) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ 1 (- (cbrt (acos a)))) a) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (* 1 (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (cbrt a) (cbrt a)) (/ (* 1 (cbrt a)) (- (acos a))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (* -1 (/ a (acos a))) 1 (* -1 (/ a (acos a))) (/ 1 (- (acos a))) (* a 1) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (/ 1 (- (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.953 * * * [progress]: adding candidates to table 1.248 * * [progress]: iteration 4 / 4 1.248 * * * [progress]: picking best candidate 1.267 * * * * [pick]: Picked # 1.267 * * * [progress]: localizing error 1.278 * * * [progress]: generating rewritten candidates 1.278 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.288 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.299 * * * [progress]: generating series expansions 1.299 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.299 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 1.299 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.299 * [taylor]: Taking taylor expansion of -1 in a 1.299 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.299 * [taylor]: Taking taylor expansion of (acos a) in a 1.299 * [taylor]: Taking taylor expansion of a in a 1.299 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.299 * [taylor]: Taking taylor expansion of -1 in a 1.299 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.299 * [taylor]: Taking taylor expansion of (acos a) in a 1.299 * [taylor]: Taking taylor expansion of a in a 1.313 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.313 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 1.313 * [taylor]: Taking taylor expansion of -1 in a 1.313 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.313 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.313 * [taylor]: Taking taylor expansion of a in a 1.313 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 1.313 * [taylor]: Taking taylor expansion of -1 in a 1.313 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.313 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.313 * [taylor]: Taking taylor expansion of a in a 1.325 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 1.325 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.325 * [taylor]: Taking taylor expansion of a in a 1.325 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.326 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.326 * [taylor]: Taking taylor expansion of a in a 1.326 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.333 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.334 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.334 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.334 * [taylor]: Taking taylor expansion of -1 in a 1.334 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.334 * [taylor]: Taking taylor expansion of a in a 1.334 * [taylor]: Taking taylor expansion of (acos a) in a 1.334 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.334 * [taylor]: Taking taylor expansion of -1 in a 1.334 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.334 * [taylor]: Taking taylor expansion of a in a 1.334 * [taylor]: Taking taylor expansion of (acos a) in a 1.342 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.342 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.342 * [taylor]: Taking taylor expansion of -1 in a 1.342 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.342 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.342 * [taylor]: Taking taylor expansion of a in a 1.342 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.342 * [taylor]: Taking taylor expansion of -1 in a 1.342 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.342 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.342 * [taylor]: Taking taylor expansion of a in a 1.348 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.349 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.349 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.349 * [taylor]: Taking taylor expansion of a in a 1.349 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.349 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.349 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.349 * [taylor]: Taking taylor expansion of a in a 1.349 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.358 * * * [progress]: simplifying candidates 1.359 * [simplify]: Simplifying using # : (* (- (acos a)) (/ 1 a)) (+ (log (- (acos a))) (- (log a))) (+ (log (- (acos a))) (- 0 (log a))) (+ (log (- (acos a))) (- (log 1) (log a))) (+ (log (- (acos a))) (log (/ 1 a))) (log (* (- (acos a)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (- (log (sqrt 1)) (+ (log (- (acos a))) (- (log a)))) (- (log (sqrt 1)) (+ (log (- (acos a))) (- 0 (log a)))) (- (log (sqrt 1)) (+ (log (- (acos a))) (- (log 1) (log a)))) (- (log (sqrt 1)) (+ (log (- (acos a))) (log (/ 1 a)))) (- (log (sqrt 1)) (log (* (- (acos a)) (/ 1 a)))) (log (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (exp (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)))) (* (cbrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (cbrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a))))) (cbrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (* (* (/ (sqrt 1) (* (- (acos a)) (/ 1 a))) (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (sqrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (sqrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (- (sqrt 1)) (- (* (- (acos a)) (/ 1 a))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (- (acos a))) (/ (cbrt (sqrt 1)) (/ 1 a)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (- (acos a))) (/ (sqrt (cbrt 1)) (/ 1 a)) (/ (sqrt (sqrt 1)) (- (acos a))) (/ (sqrt (sqrt 1)) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt (sqrt 1)) (- (acos a))) (/ (sqrt (sqrt 1)) (/ 1 a)) (/ 1 (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (sqrt 1) (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt (sqrt 1))) (/ (* (- (acos a)) (/ 1 a)) (sqrt (cbrt 1))) (/ (* (- (acos a)) (/ 1 a)) (sqrt (sqrt 1))) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt (sqrt 1))) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (* (- (acos a)) 1)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 1.367 * * [simplify]: iteration 0 : 348 enodes (cost 532 ) 1.375 * * [simplify]: iteration 1 : 1740 enodes (cost 415 ) 1.399 * * [simplify]: iteration 2 : 5001 enodes (cost 350 ) 1.401 * [simplify]: Simplified to: (/ (- (acos a)) a) (- (log (- (acos a))) (log a)) (- (log (- (acos a))) (log a)) (- (log (- (acos a))) (log a)) (- (log (- (acos a))) (log a)) (- (log (- (acos a))) (log a)) (exp (- 0 (/ (acos a) a))) (pow (/ (- (acos a)) a) 3) (pow (/ (- (acos a)) a) 3) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (pow (/ (- (acos a)) a) 3) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (acos a) a) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (- (acos a)) (- (acos a)) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (/ (- (acos a)) a) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (- (/ (cbrt (acos a)) a)) (- (/ (sqrt (acos a)) a)) (/ (- (acos a)) a) (- (acos a)) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (pow (exp (/ 1 (- (acos a)))) a) (pow (/ a (- (acos a))) 3) (pow (/ a (- (acos a))) 3) (pow (/ a (- (acos a))) 3) (* (cbrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (cbrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a))))) (cbrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (sqrt (/ (sqrt 1) (* (- (acos a)) (/ 1 a)))) (- 1) (/ (acos a) a) (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (* -1 (/ a (acos a))) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 1.402 * * * [progress]: adding candidates to table 1.525 * [progress]: [Phase 3 of 3] Extracting. 1.525 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 1.527 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 1.527 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # # # # # #) 1.568 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # #) 1.603 * * * [regime]: Found split indices: #