77.228 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.025 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.025 * [simplify]: Simplified to: (/ a (- (acos a))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.042 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.042 * [taylor]: Taking taylor expansion of -1 in a 0.042 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.042 * [taylor]: Taking taylor expansion of a in a 0.042 * [taylor]: Taking taylor expansion of (acos a) in a 0.042 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.042 * [taylor]: Taking taylor expansion of -1 in a 0.042 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.042 * [taylor]: Taking taylor expansion of a in a 0.042 * [taylor]: Taking taylor expansion of (acos a) in a 0.050 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.050 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.050 * [taylor]: Taking taylor expansion of -1 in a 0.050 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.050 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.050 * [taylor]: Taking taylor expansion of a in a 0.051 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.051 * [taylor]: Taking taylor expansion of -1 in a 0.051 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.051 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.051 * [taylor]: Taking taylor expansion of a in a 0.057 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.058 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.058 * [taylor]: Taking taylor expansion of a in a 0.058 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.058 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.058 * [taylor]: Taking taylor expansion of a in a 0.058 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.068 * * * [progress]: simplifying candidates 0.070 * [simplify]: Simplifying using # : (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.075 * * [simplify]: iteration 0 : 166 enodes (cost 384 ) 0.079 * * [simplify]: iteration 1 : 493 enodes (cost 372 ) 0.088 * * [simplify]: iteration 2 : 1442 enodes (cost 367 ) 0.112 * * [simplify]: iteration 3 : 3704 enodes (cost 366 ) 0.174 * * [simplify]: iteration 4 : 5002 enodes (cost 366 ) 0.176 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (* -1 a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (* -1 (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (* -1 a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (* -1 a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.177 * * * [progress]: adding candidates to table 0.275 * * [progress]: iteration 2 / 4 0.275 * * * [progress]: picking best candidate 0.286 * * * * [pick]: Picked # 0.286 * * * [progress]: localizing error 0.292 * * * [progress]: generating rewritten candidates 0.292 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.300 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.321 * * * [progress]: generating series expansions 0.321 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.321 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.321 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.321 * [taylor]: Taking taylor expansion of -1 in a 0.321 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.321 * [taylor]: Taking taylor expansion of (acos a) in a 0.321 * [taylor]: Taking taylor expansion of a in a 0.321 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.321 * [taylor]: Taking taylor expansion of -1 in a 0.321 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.321 * [taylor]: Taking taylor expansion of (acos a) in a 0.321 * [taylor]: Taking taylor expansion of a in a 0.336 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.336 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.336 * [taylor]: Taking taylor expansion of -1 in a 0.336 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.336 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.336 * [taylor]: Taking taylor expansion of a in a 0.336 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.336 * [taylor]: Taking taylor expansion of -1 in a 0.336 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.336 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.336 * [taylor]: Taking taylor expansion of a in a 0.348 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.348 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.348 * [taylor]: Taking taylor expansion of a in a 0.348 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.348 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.348 * [taylor]: Taking taylor expansion of a in a 0.348 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.356 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.356 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.356 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.356 * [taylor]: Taking taylor expansion of -1 in a 0.356 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.356 * [taylor]: Taking taylor expansion of a in a 0.356 * [taylor]: Taking taylor expansion of (acos a) in a 0.356 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.356 * [taylor]: Taking taylor expansion of -1 in a 0.356 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.356 * [taylor]: Taking taylor expansion of a in a 0.356 * [taylor]: Taking taylor expansion of (acos a) in a 0.364 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.364 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.364 * [taylor]: Taking taylor expansion of -1 in a 0.364 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.364 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.364 * [taylor]: Taking taylor expansion of a in a 0.364 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.364 * [taylor]: Taking taylor expansion of -1 in a 0.364 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.364 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.365 * [taylor]: Taking taylor expansion of a in a 0.371 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.371 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.371 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.371 * [taylor]: Taking taylor expansion of a in a 0.371 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.371 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.371 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.371 * [taylor]: Taking taylor expansion of a in a 0.371 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.386 * * * [progress]: simplifying candidates 0.389 * [simplify]: Simplifying using # : (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (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))) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (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) 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(- (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 (* (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))) 0.465 * * * [progress]: adding candidates to table 0.705 * * [progress]: iteration 3 / 4 0.705 * * * [progress]: picking best candidate 0.720 * * * * [pick]: Picked # 0.720 * * * [progress]: localizing error 0.727 * * * [progress]: generating rewritten candidates 0.727 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.736 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.747 * * * [progress]: generating series expansions 0.747 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.747 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.747 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.747 * [taylor]: Taking taylor expansion of -1 in a 0.747 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.747 * [taylor]: Taking taylor expansion of (acos a) in a 0.747 * [taylor]: Taking taylor expansion of a in a 0.747 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.747 * [taylor]: Taking taylor expansion of -1 in a 0.747 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.747 * [taylor]: Taking taylor expansion of (acos a) in a 0.747 * [taylor]: Taking taylor expansion of a in a 0.765 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.765 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.765 * [taylor]: Taking taylor expansion of -1 in a 0.765 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.765 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.765 * [taylor]: Taking taylor expansion of a in a 0.765 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.765 * [taylor]: Taking taylor expansion of -1 in a 0.765 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.765 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.766 * [taylor]: Taking taylor expansion of a in a 0.778 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.778 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.778 * [taylor]: Taking taylor expansion of a in a 0.778 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.778 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.778 * [taylor]: Taking taylor expansion of a in a 0.778 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.786 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.786 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.786 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.786 * [taylor]: Taking taylor expansion of -1 in a 0.786 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.786 * [taylor]: Taking taylor expansion of a in a 0.786 * [taylor]: Taking taylor expansion of (acos a) in a 0.786 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.786 * [taylor]: Taking taylor expansion of -1 in a 0.786 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.786 * [taylor]: Taking taylor expansion of a in a 0.786 * [taylor]: Taking taylor expansion of (acos a) in a 0.793 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.794 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.794 * [taylor]: Taking taylor expansion of -1 in a 0.794 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.794 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.794 * [taylor]: Taking taylor expansion of a in a 0.794 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.794 * [taylor]: Taking taylor expansion of -1 in a 0.794 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.794 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.794 * [taylor]: Taking taylor expansion of a in a 0.800 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.800 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.800 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.800 * [taylor]: Taking taylor expansion of a in a 0.801 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.801 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.801 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.801 * [taylor]: Taking taylor expansion of a in a 0.801 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.810 * * * [progress]: simplifying candidates 0.812 * [simplify]: Simplifying using # : (expm1 (* (- (acos a)) (/ 1 a))) (log1p (* (- (acos a)) (/ 1 a))) (* (- (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) (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- 1) (- (+ (log (- (acos a))) (- (log a)))) (- (+ (log (- (acos a))) (- 0 (log a)))) (- (+ (log (- (acos a))) (- (log 1) (log a)))) (- (+ (log (- (acos a))) (log (/ 1 a)))) (- (log (* (- (acos a)) (/ 1 a)))) (- 0 (+ (log (- (acos a))) (- (log a)))) (- 0 (+ (log (- (acos a))) (- 0 (log a)))) (- 0 (+ (log (- (acos a))) (- (log 1) (log a)))) (- 0 (+ (log (- (acos a))) (log (/ 1 a)))) (- 0 (log (* (- (acos a)) (/ 1 a)))) (- (log 1) (+ (log (- (acos a))) (- (log a)))) (- (log 1) (+ (log (- (acos a))) (- 0 (log a)))) (- (log 1) (+ (log (- (acos a))) (- (log 1) (log a)))) (- (log 1) (+ (log (- (acos a))) (log (/ 1 a)))) (- (log 1) (log (* (- (acos a)) (/ 1 a)))) (log (/ 1 (* (- (acos a)) (/ 1 a)))) (exp (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)))) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (* (* (/ 1 (* (- (acos a)) (/ 1 a))) (/ 1 (* (- (acos a)) (/ 1 a)))) (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- (* (- (acos a)) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ 1 (* (- (acos a)) 1)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.817 * * [simplify]: iteration 0 : 355 enodes (cost 529 ) 0.826 * * [simplify]: iteration 1 : 1644 enodes (cost 425 ) 0.853 * * [simplify]: iteration 2 : 5001 enodes (cost 401 ) 0.856 * [simplify]: Simplified to: (expm1 (* (- (acos a)) (/ 1 a))) (log1p (* (- (acos a)) (/ 1 a))) (/ (- (acos a)) a) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (pow (/ (- (acos a)) a) 3) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (pow (/ (- (acos a)) a) 3) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (* (sqrt (- (acos a))) 1) (sqrt a)) (/ (acos a) a) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (- (acos a)) (- (acos a)) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (/ (- (acos a)) a) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (/ (- (cbrt (acos a))) a) (/ (- (sqrt (acos a))) a) (/ (- (acos a)) a) (- (acos a)) (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) -1 -1 (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (pow (exp (/ 1 (- (acos a)))) a) (/ (pow a 3) (pow (- (acos a)) 3)) (/ (pow a 3) (pow (- (acos a)) 3)) (/ (pow a 3) (pow (- (acos a)) 3)) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (pow a 3) (pow (- (acos a)) 3)) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) -1 (/ (acos a) a) (* -1 (/ 1 (acos a))) a (* -1 (/ 1 (acos a))) a (* -1 (/ 1 (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (* -1 (/ 1 (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (* -1 (/ 1 (acos a))) (* -1 (/ 1 (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 0.856 * * * [progress]: adding candidates to table 0.959 * * [progress]: iteration 4 / 4 0.959 * * * [progress]: picking best candidate 0.972 * * * * [pick]: Picked # 0.972 * * * [progress]: localizing error 0.981 * * * [progress]: generating rewritten candidates 0.981 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.985 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.989 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.994 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.044 * * * [progress]: generating series expansions 1.044 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.044 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ a (acos a)) 1/3)) in (a) around 0 1.044 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ a (acos a)) 1/3)) in a 1.044 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.044 * [taylor]: Taking taylor expansion of -1 in a 1.046 * [taylor]: Taking taylor expansion of (pow (/ a (acos a)) 1/3) in a 1.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ a (acos a))))) in a 1.046 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ a (acos a)))) in a 1.046 * [taylor]: Taking taylor expansion of 1/3 in a 1.046 * [taylor]: Taking taylor expansion of (log (/ a (acos a))) in a 1.046 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.046 * [taylor]: Taking taylor expansion of a in a 1.046 * [taylor]: Taking taylor expansion of (acos a) in a 1.047 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ a (acos a)) 1/3)) in a 1.047 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.047 * [taylor]: Taking taylor expansion of -1 in a 1.047 * [taylor]: Taking taylor expansion of (pow (/ a (acos a)) 1/3) in a 1.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ a (acos a))))) in a 1.048 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ a (acos a)))) in a 1.048 * [taylor]: Taking taylor expansion of 1/3 in a 1.048 * [taylor]: Taking taylor expansion of (log (/ a (acos a))) in a 1.048 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.048 * [taylor]: Taking taylor expansion of a in a 1.048 * [taylor]: Taking taylor expansion of (acos a) in a 1.102 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) (cbrt -1)) in (a) around 0 1.102 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) (cbrt -1)) in a 1.102 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) in a 1.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a))))) in a 1.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a)))) in a 1.102 * [taylor]: Taking taylor expansion of 1/3 in a 1.102 * [taylor]: Taking taylor expansion of (log (/ 1 (* (acos (/ 1 a)) a))) in a 1.102 * [taylor]: Taking taylor expansion of (/ 1 (* (acos (/ 1 a)) a)) in a 1.102 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.102 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.102 * [taylor]: Taking taylor expansion of a in a 1.103 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.103 * [taylor]: Taking taylor expansion of -1 in a 1.104 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) (cbrt -1)) in a 1.104 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) in a 1.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a))))) in a 1.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a)))) in a 1.104 * [taylor]: Taking taylor expansion of 1/3 in a 1.104 * [taylor]: Taking taylor expansion of (log (/ 1 (* (acos (/ 1 a)) a))) in a 1.104 * [taylor]: Taking taylor expansion of (/ 1 (* (acos (/ 1 a)) a)) in a 1.104 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.104 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.104 * [taylor]: Taking taylor expansion of a in a 1.105 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.105 * [taylor]: Taking taylor expansion of -1 in a 1.166 * [approximate]: Taking taylor expansion of (pow (/ 1 (* a (acos (/ -1 a)))) 1/3) in (a) around 0 1.166 * [taylor]: Taking taylor expansion of (pow (/ 1 (* a (acos (/ -1 a)))) 1/3) in a 1.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* a (acos (/ -1 a))))))) in a 1.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* a (acos (/ -1 a)))))) in a 1.166 * [taylor]: Taking taylor expansion of 1/3 in a 1.166 * [taylor]: Taking taylor expansion of (log (/ 1 (* a (acos (/ -1 a))))) in a 1.166 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.166 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.167 * [taylor]: Taking taylor expansion of a in a 1.167 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.168 * [taylor]: Taking taylor expansion of (pow (/ 1 (* a (acos (/ -1 a)))) 1/3) in a 1.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* a (acos (/ -1 a))))))) in a 1.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* a (acos (/ -1 a)))))) in a 1.168 * [taylor]: Taking taylor expansion of 1/3 in a 1.168 * [taylor]: Taking taylor expansion of (log (/ 1 (* a (acos (/ -1 a))))) in a 1.168 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.168 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.168 * [taylor]: Taking taylor expansion of a in a 1.168 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.220 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.220 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ a (acos a)) 1/3)) in (a) around 0 1.220 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ a (acos a)) 1/3)) in a 1.221 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.221 * [taylor]: Taking taylor expansion of -1 in a 1.221 * [taylor]: Taking taylor expansion of (pow (/ a (acos a)) 1/3) in a 1.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ a (acos a))))) in a 1.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ a (acos a)))) in a 1.222 * [taylor]: Taking taylor expansion of 1/3 in a 1.222 * [taylor]: Taking taylor expansion of (log (/ a (acos a))) in a 1.222 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.222 * [taylor]: Taking taylor expansion of a in a 1.222 * [taylor]: Taking taylor expansion of (acos a) in a 1.222 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ a (acos a)) 1/3)) in a 1.222 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.222 * [taylor]: Taking taylor expansion of -1 in a 1.223 * [taylor]: Taking taylor expansion of (pow (/ a (acos a)) 1/3) in a 1.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ a (acos a))))) in a 1.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ a (acos a)))) in a 1.223 * [taylor]: Taking taylor expansion of 1/3 in a 1.223 * [taylor]: Taking taylor expansion of (log (/ a (acos a))) in a 1.223 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.223 * [taylor]: Taking taylor expansion of a in a 1.223 * [taylor]: Taking taylor expansion of (acos a) in a 1.276 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) (cbrt -1)) in (a) around 0 1.276 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) (cbrt -1)) in a 1.276 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) in a 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a))))) in a 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a)))) in a 1.276 * [taylor]: Taking taylor expansion of 1/3 in a 1.276 * [taylor]: Taking taylor expansion of (log (/ 1 (* (acos (/ 1 a)) a))) in a 1.276 * [taylor]: Taking taylor expansion of (/ 1 (* (acos (/ 1 a)) a)) in a 1.276 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.276 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.276 * [taylor]: Taking taylor expansion of a in a 1.277 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.277 * [taylor]: Taking taylor expansion of -1 in a 1.278 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) (cbrt -1)) in a 1.278 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) in a 1.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a))))) in a 1.278 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a)))) in a 1.278 * [taylor]: Taking taylor expansion of 1/3 in a 1.278 * [taylor]: Taking taylor expansion of (log (/ 1 (* (acos (/ 1 a)) a))) in a 1.278 * [taylor]: Taking taylor expansion of (/ 1 (* (acos (/ 1 a)) a)) in a 1.278 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.278 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.278 * [taylor]: Taking taylor expansion of a in a 1.279 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.279 * [taylor]: Taking taylor expansion of -1 in a 1.339 * [approximate]: Taking taylor expansion of (pow (/ 1 (* a (acos (/ -1 a)))) 1/3) in (a) around 0 1.339 * [taylor]: Taking taylor expansion of (pow (/ 1 (* a (acos (/ -1 a)))) 1/3) in a 1.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* a (acos (/ -1 a))))))) in a 1.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* a (acos (/ -1 a)))))) in a 1.340 * [taylor]: Taking taylor expansion of 1/3 in a 1.340 * [taylor]: Taking taylor expansion of (log (/ 1 (* a (acos (/ -1 a))))) in a 1.340 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.340 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.340 * [taylor]: Taking taylor expansion of a in a 1.340 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.341 * [taylor]: Taking taylor expansion of (pow (/ 1 (* a (acos (/ -1 a)))) 1/3) in a 1.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* a (acos (/ -1 a))))))) in a 1.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* a (acos (/ -1 a)))))) in a 1.341 * [taylor]: Taking taylor expansion of 1/3 in a 1.341 * [taylor]: Taking taylor expansion of (log (/ 1 (* a (acos (/ -1 a))))) in a 1.341 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.341 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.341 * [taylor]: Taking taylor expansion of a in a 1.341 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.390 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.391 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ a (acos a)) 1/3)) in (a) around 0 1.391 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ a (acos a)) 1/3)) in a 1.391 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.391 * [taylor]: Taking taylor expansion of -1 in a 1.392 * [taylor]: Taking taylor expansion of (pow (/ a (acos a)) 1/3) in a 1.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ a (acos a))))) in a 1.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ a (acos a)))) in a 1.392 * [taylor]: Taking taylor expansion of 1/3 in a 1.392 * [taylor]: Taking taylor expansion of (log (/ a (acos a))) in a 1.392 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.392 * [taylor]: Taking taylor expansion of a in a 1.392 * [taylor]: Taking taylor expansion of (acos a) in a 1.393 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ a (acos a)) 1/3)) in a 1.393 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.393 * [taylor]: Taking taylor expansion of -1 in a 1.393 * [taylor]: Taking taylor expansion of (pow (/ a (acos a)) 1/3) in a 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ a (acos a))))) in a 1.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ a (acos a)))) in a 1.393 * [taylor]: Taking taylor expansion of 1/3 in a 1.393 * [taylor]: Taking taylor expansion of (log (/ a (acos a))) in a 1.394 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.394 * [taylor]: Taking taylor expansion of a in a 1.394 * [taylor]: Taking taylor expansion of (acos a) in a 1.452 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) (cbrt -1)) in (a) around 0 1.453 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) (cbrt -1)) in a 1.453 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) in a 1.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a))))) in a 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a)))) in a 1.453 * [taylor]: Taking taylor expansion of 1/3 in a 1.453 * [taylor]: Taking taylor expansion of (log (/ 1 (* (acos (/ 1 a)) a))) in a 1.453 * [taylor]: Taking taylor expansion of (/ 1 (* (acos (/ 1 a)) a)) in a 1.453 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.453 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.453 * [taylor]: Taking taylor expansion of a in a 1.454 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.454 * [taylor]: Taking taylor expansion of -1 in a 1.455 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) (cbrt -1)) in a 1.455 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (acos (/ 1 a)) a)) 1/3) in a 1.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a))))) in a 1.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (acos (/ 1 a)) a)))) in a 1.455 * [taylor]: Taking taylor expansion of 1/3 in a 1.455 * [taylor]: Taking taylor expansion of (log (/ 1 (* (acos (/ 1 a)) a))) in a 1.455 * [taylor]: Taking taylor expansion of (/ 1 (* (acos (/ 1 a)) a)) in a 1.455 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.455 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.455 * [taylor]: Taking taylor expansion of a in a 1.456 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.456 * [taylor]: Taking taylor expansion of -1 in a 1.516 * [approximate]: Taking taylor expansion of (pow (/ 1 (* a (acos (/ -1 a)))) 1/3) in (a) around 0 1.516 * [taylor]: Taking taylor expansion of (pow (/ 1 (* a (acos (/ -1 a)))) 1/3) in a 1.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* a (acos (/ -1 a))))))) in a 1.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* a (acos (/ -1 a)))))) in a 1.516 * [taylor]: Taking taylor expansion of 1/3 in a 1.516 * [taylor]: Taking taylor expansion of (log (/ 1 (* a (acos (/ -1 a))))) in a 1.516 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.516 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.516 * [taylor]: Taking taylor expansion of a in a 1.516 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.518 * [taylor]: Taking taylor expansion of (pow (/ 1 (* a (acos (/ -1 a)))) 1/3) in a 1.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* a (acos (/ -1 a))))))) in a 1.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* a (acos (/ -1 a)))))) in a 1.518 * [taylor]: Taking taylor expansion of 1/3 in a 1.518 * [taylor]: Taking taylor expansion of (log (/ 1 (* a (acos (/ -1 a))))) in a 1.518 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.518 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.518 * [taylor]: Taking taylor expansion of a in a 1.518 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.568 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.568 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow a 2) (pow (acos a) 2)) 1/3)) in (a) around 0 1.569 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow a 2) (pow (acos a) 2)) 1/3)) in a 1.569 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 1.569 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.569 * [taylor]: Taking taylor expansion of -1 in a 1.570 * [taylor]: Taking taylor expansion of (pow (/ (pow a 2) (pow (acos a) 2)) 1/3) in a 1.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow a 2) (pow (acos a) 2))))) in a 1.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow a 2) (pow (acos a) 2)))) in a 1.570 * [taylor]: Taking taylor expansion of 1/3 in a 1.570 * [taylor]: Taking taylor expansion of (log (/ (pow a 2) (pow (acos a) 2))) in a 1.570 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow (acos a) 2)) in a 1.570 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.570 * [taylor]: Taking taylor expansion of a in a 1.570 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 1.570 * [taylor]: Taking taylor expansion of (acos a) in a 1.571 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow a 2) (pow (acos a) 2)) 1/3)) in a 1.571 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 1.571 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.571 * [taylor]: Taking taylor expansion of -1 in a 1.572 * [taylor]: Taking taylor expansion of (pow (/ (pow a 2) (pow (acos a) 2)) 1/3) in a 1.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow a 2) (pow (acos a) 2))))) in a 1.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow a 2) (pow (acos a) 2)))) in a 1.572 * [taylor]: Taking taylor expansion of 1/3 in a 1.572 * [taylor]: Taking taylor expansion of (log (/ (pow a 2) (pow (acos a) 2))) in a 1.572 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow (acos a) 2)) in a 1.572 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.572 * [taylor]: Taking taylor expansion of a in a 1.572 * [taylor]: Taking taylor expansion of (pow (acos a) 2) in a 1.572 * [taylor]: Taking taylor expansion of (acos a) in a 1.655 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2))) 1/3)) in (a) around 0 1.655 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2))) 1/3)) in a 1.655 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 1.655 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.655 * [taylor]: Taking taylor expansion of -1 in a 1.656 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2))) 1/3) in a 1.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2)))))) in a 1.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2))))) in a 1.656 * [taylor]: Taking taylor expansion of 1/3 in a 1.656 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2)))) in a 1.656 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2))) in a 1.656 * [taylor]: Taking taylor expansion of (* (pow (acos (/ 1 a)) 2) (pow a 2)) in a 1.656 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 1.656 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.656 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.656 * [taylor]: Taking taylor expansion of a in a 1.658 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2))) 1/3)) in a 1.658 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 1.658 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.658 * [taylor]: Taking taylor expansion of -1 in a 1.659 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2))) 1/3) in a 1.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2)))))) in a 1.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2))))) in a 1.659 * [taylor]: Taking taylor expansion of 1/3 in a 1.659 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2)))) in a 1.659 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (acos (/ 1 a)) 2) (pow a 2))) in a 1.659 * [taylor]: Taking taylor expansion of (* (pow (acos (/ 1 a)) 2) (pow a 2)) in a 1.659 * [taylor]: Taking taylor expansion of (pow (acos (/ 1 a)) 2) in a 1.659 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.659 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.659 * [taylor]: Taking taylor expansion of a in a 1.744 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2))) 1/3) in (a) around 0 1.744 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2))) 1/3) in a 1.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2)))))) in a 1.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2))))) in a 1.744 * [taylor]: Taking taylor expansion of 1/3 in a 1.744 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2)))) in a 1.744 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2))) in a 1.744 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow (acos (/ -1 a)) 2)) in a 1.744 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.744 * [taylor]: Taking taylor expansion of a in a 1.744 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 1.745 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.746 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2))) 1/3) in a 1.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2)))))) in a 1.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2))))) in a 1.746 * [taylor]: Taking taylor expansion of 1/3 in a 1.746 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2)))) in a 1.746 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow (acos (/ -1 a)) 2))) in a 1.746 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow (acos (/ -1 a)) 2)) in a 1.746 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.746 * [taylor]: Taking taylor expansion of a in a 1.746 * [taylor]: Taking taylor expansion of (pow (acos (/ -1 a)) 2) in a 1.746 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.813 * * * [progress]: simplifying candidates 1.817 * [simplify]: Simplifying using # : (expm1 (cbrt (/ a (- (acos a))))) (log1p (cbrt (/ a (- (acos a))))) (log (cbrt (/ a (- (acos a))))) (exp (cbrt (/ a (- (acos a))))) (cbrt (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a)))))) (cbrt (cbrt (/ a (- (acos a))))) (cbrt (sqrt (/ a (- (acos a))))) (cbrt (sqrt (/ a (- (acos a))))) (cbrt (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))))) (cbrt (/ (cbrt a) (cbrt (- (acos a))))) (cbrt (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a))))) (cbrt (/ (cbrt a) (sqrt (- (acos a))))) (cbrt (/ (* (cbrt a) (cbrt a)) 1)) (cbrt (/ (cbrt a) (- (acos a)))) (cbrt (/ (* (cbrt a) (cbrt a)) -1)) (cbrt (/ (cbrt a) (acos a))) (cbrt (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))))) (cbrt (/ (cbrt a) (cbrt (acos a)))) (cbrt (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a))))) (cbrt (/ (cbrt a) (sqrt (acos a)))) (cbrt (/ (* (cbrt a) (cbrt a)) (- 1))) (cbrt (/ (cbrt a) (acos a))) (cbrt (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a))))) (cbrt (/ (cbrt a) (- (cbrt (acos a))))) (cbrt (/ (* (cbrt a) (cbrt a)) (sqrt (acos a)))) (cbrt (/ (cbrt a) (- (sqrt (acos a))))) (cbrt (/ (* (cbrt a) (cbrt a)) 1)) (cbrt (/ (cbrt a) (- (acos a)))) (cbrt (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a)))))) (cbrt (/ (sqrt a) (cbrt (- (acos a))))) (cbrt (/ (sqrt a) 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a))))) (cbrt (/ a (- (acos a))))) (* (cbrt (/ a (sqrt (- (acos a))))) (cbrt (/ a (- (acos a))))) (pow (sqrt (cbrt (/ a (- (acos a))))) 4) (* (cbrt (/ a (acos a))) (cbrt (/ a (- (acos a))))) (* (cbrt (/ a (cbrt (acos a)))) (cbrt (/ a (- (acos a))))) (* (cbrt (/ a (sqrt (acos a)))) (cbrt (/ a (- (acos a))))) (* (cbrt (/ a (acos a))) (cbrt (/ a (- (acos a))))) (* (cbrt (/ a (- (cbrt (acos a))))) (cbrt (/ a (- (acos a))))) (* (cbrt (/ a (- (sqrt (acos a))))) (cbrt (/ a (- (acos a))))) (pow (sqrt (cbrt (/ a (- (acos a))))) 4) (pow (sqrt (cbrt (/ a (- (acos a))))) 4) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ a (- (acos a))))) (pow (cbrt (cbrt (/ a (- (acos a))))) 4) (pow (sqrt (cbrt (/ a (- (acos a))))) 3) (pow (sqrt (cbrt (/ a (- (acos a))))) 4) (* (cbrt (/ a (- (acos a)))) (cbrt a)) (* (cbrt (/ a (- (acos a)))) (cbrt a)) (* (* (cbrt -1) (pow a 1/3)) (pow (/ 1 (acos a)) 1/3)) (* (* (cbrt -1) (pow a 1/3)) (pow (/ 1 (acos a)) 1/3)) (exp (* 1/3 (- (log (/ 1 (acos a))) (log (/ -1 a))))) (* (* (cbrt -1) (pow a 1/3)) (pow (/ 1 (acos a)) 1/3)) (* (* (cbrt -1) (pow a 1/3)) (pow (/ 1 (acos a)) 1/3)) (exp (* 1/3 (- (log (/ 1 (acos a))) (log (/ -1 a))))) (* (* (cbrt -1) (pow a 1/3)) (pow (/ 1 (acos a)) 1/3)) (* (* (cbrt -1) (pow a 1/3)) (pow (/ 1 (acos a)) 1/3)) (exp (* 1/3 (- (log (/ 1 (acos a))) (log (/ -1 a))))) (* (* (pow (cbrt -1) 2) (pow a 2/3)) (pow (/ 1 (pow (acos a) 2)) 1/3)) (* (* (pow (cbrt -1) 2) (pow a 2/3)) (pow (/ 1 (pow (acos a) 2)) 1/3)) (exp (* 1/3 (- (log (/ 1 (pow (acos a) 2))) (* 2 (log (/ -1 a)))))) 1.896 * * * [progress]: adding candidates to table 2.610 * [progress]: [Phase 3 of 3] Extracting. 2.610 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.611 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 2.611 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # #) 2.645 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 2.674 * * * [regime]: Found split indices: #