10.919 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.019 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.019 * [simplify]: Simplified to: (/ a (- (acos a))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.031 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.031 * [taylor]: Taking taylor expansion of -1 in a 0.031 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.031 * [taylor]: Taking taylor expansion of a in a 0.031 * [taylor]: Taking taylor expansion of (acos a) in a 0.031 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.031 * [taylor]: Taking taylor expansion of -1 in a 0.031 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.031 * [taylor]: Taking taylor expansion of a in a 0.031 * [taylor]: Taking taylor expansion of (acos a) in a 0.042 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.042 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.042 * [taylor]: Taking taylor expansion of -1 in a 0.042 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.042 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.042 * [taylor]: Taking taylor expansion of a in a 0.043 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.043 * [taylor]: Taking taylor expansion of -1 in a 0.043 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.043 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.043 * [taylor]: Taking taylor expansion of a in a 0.048 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.048 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.048 * [taylor]: Taking taylor expansion of a in a 0.048 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.049 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.049 * [taylor]: Taking taylor expansion of a in a 0.049 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.057 * * * [progress]: simplifying candidates 0.059 * [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))) 0.063 * * [simplify]: iteration 0 : 166 enodes (cost 384 ) 0.066 * * [simplify]: iteration 1 : 493 enodes (cost 372 ) 0.073 * * [simplify]: iteration 2 : 1442 enodes (cost 367 ) 0.092 * * [simplify]: iteration 3 : 3704 enodes (cost 366 ) 0.145 * * [simplify]: iteration 4 : 5002 enodes (cost 366 ) 0.146 * [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))) 0.147 * * * [progress]: adding candidates to table 0.239 * * [progress]: iteration 2 / 4 0.239 * * * [progress]: picking best candidate 0.256 * * * * [pick]: Picked # 0.256 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.271 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.286 * * * [progress]: generating series expansions 0.286 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.287 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.287 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.287 * [taylor]: Taking taylor expansion of -1 in a 0.287 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.287 * [taylor]: Taking taylor expansion of a in a 0.287 * [taylor]: Taking taylor expansion of (acos a) in a 0.287 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.287 * [taylor]: Taking taylor expansion of -1 in a 0.287 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.287 * [taylor]: Taking taylor expansion of a in a 0.287 * [taylor]: Taking taylor expansion of (acos a) in a 0.294 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.294 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.294 * [taylor]: Taking taylor expansion of -1 in a 0.294 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.294 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.294 * [taylor]: Taking taylor expansion of a in a 0.294 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.294 * [taylor]: Taking taylor expansion of -1 in a 0.294 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.294 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.294 * [taylor]: Taking taylor expansion of a in a 0.300 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.300 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.300 * [taylor]: Taking taylor expansion of a in a 0.300 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.301 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.301 * [taylor]: Taking taylor expansion of a in a 0.301 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.313 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.313 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.313 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.313 * [taylor]: Taking taylor expansion of -1 in a 0.313 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.313 * [taylor]: Taking taylor expansion of (acos a) in a 0.313 * [taylor]: Taking taylor expansion of a in a 0.313 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.313 * [taylor]: Taking taylor expansion of -1 in a 0.313 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.313 * [taylor]: Taking taylor expansion of (acos a) in a 0.313 * [taylor]: Taking taylor expansion of a in a 0.327 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.327 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.327 * [taylor]: Taking taylor expansion of -1 in a 0.327 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.327 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.327 * [taylor]: Taking taylor expansion of a in a 0.327 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.327 * [taylor]: Taking taylor expansion of -1 in a 0.327 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.327 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.327 * [taylor]: Taking taylor expansion of a in a 0.338 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.338 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.338 * [taylor]: Taking taylor expansion of a in a 0.338 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.338 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.338 * [taylor]: Taking taylor expansion of a in a 0.338 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.345 * * * [progress]: simplifying candidates 0.350 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) 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(cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (- (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 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a)) (- (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))) (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (sqrt (acos a)) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) 0.413 * * * [progress]: adding candidates to table 0.652 * * [progress]: iteration 3 / 4 0.652 * * * [progress]: picking best candidate 0.673 * * * * [pick]: Picked # 0.673 * * * [progress]: localizing error 0.679 * * * [progress]: generating rewritten candidates 0.679 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.690 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.703 * * * [progress]: generating series expansions 0.703 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.703 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.703 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.703 * [taylor]: Taking taylor expansion of -1 in a 0.703 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.703 * [taylor]: Taking taylor expansion of (acos a) in a 0.703 * [taylor]: Taking taylor expansion of a in a 0.703 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.703 * [taylor]: Taking taylor expansion of -1 in a 0.703 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.703 * [taylor]: Taking taylor expansion of (acos a) in a 0.703 * [taylor]: Taking taylor expansion of a in a 0.717 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.717 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.717 * [taylor]: Taking taylor expansion of -1 in a 0.717 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.717 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.717 * [taylor]: Taking taylor expansion of a in a 0.717 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.717 * [taylor]: Taking taylor expansion of -1 in a 0.717 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.717 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.717 * [taylor]: Taking taylor expansion of a in a 0.728 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.728 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.728 * [taylor]: Taking taylor expansion of a in a 0.728 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.728 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.728 * [taylor]: Taking taylor expansion of a in a 0.728 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.739 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.739 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.739 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.739 * [taylor]: Taking taylor expansion of -1 in a 0.739 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.739 * [taylor]: Taking taylor expansion of a in a 0.739 * [taylor]: Taking taylor expansion of (acos a) in a 0.739 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.739 * [taylor]: Taking taylor expansion of -1 in a 0.739 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.739 * [taylor]: Taking taylor expansion of a in a 0.739 * [taylor]: Taking taylor expansion of (acos a) in a 0.746 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.746 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.746 * [taylor]: Taking taylor expansion of -1 in a 0.746 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.746 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.746 * [taylor]: Taking taylor expansion of a in a 0.746 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.746 * [taylor]: Taking taylor expansion of -1 in a 0.746 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.746 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.746 * [taylor]: Taking taylor expansion of a in a 0.752 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.752 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.752 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.752 * [taylor]: Taking taylor expansion of a in a 0.752 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.752 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.752 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.752 * [taylor]: Taking taylor expansion of a in a 0.752 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.761 * * * [progress]: simplifying candidates 0.762 * [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))) 0.767 * * [simplify]: iteration 0 : 355 enodes (cost 529 ) 0.774 * * [simplify]: iteration 1 : 1644 enodes (cost 425 ) 0.796 * * [simplify]: iteration 2 : 5001 enodes (cost 401 ) 0.798 * [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))) 0.799 * * * [progress]: adding candidates to table 0.906 * * [progress]: iteration 4 / 4 0.907 * * * [progress]: picking best candidate 0.922 * * * * [pick]: Picked # 0.922 * * * [progress]: localizing error 0.932 * * * [progress]: generating rewritten candidates 0.932 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.932 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.933 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.933 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.941 * * * [progress]: generating series expansions 0.941 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.941 * [approximate]: Taking taylor expansion of (pow a 1/3) in (a) around 0 0.941 * [taylor]: Taking taylor expansion of (pow a 1/3) in a 0.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log a))) in a 0.941 * [taylor]: Taking taylor expansion of (* 1/3 (log a)) in a 0.941 * [taylor]: Taking taylor expansion of 1/3 in a 0.941 * [taylor]: Taking taylor expansion of (log a) in a 0.941 * [taylor]: Taking taylor expansion of a in a 0.942 * [taylor]: Taking taylor expansion of (pow a 1/3) in a 0.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log a))) in a 0.942 * [taylor]: Taking taylor expansion of (* 1/3 (log a)) in a 0.942 * [taylor]: Taking taylor expansion of 1/3 in a 0.942 * [taylor]: Taking taylor expansion of (log a) in a 0.942 * [taylor]: Taking taylor expansion of a in a 0.994 * [approximate]: Taking taylor expansion of (pow (/ 1 a) 1/3) in (a) around 0 0.994 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 0.994 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 0.994 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 0.994 * [taylor]: Taking taylor expansion of 1/3 in a 0.994 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 0.994 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.994 * [taylor]: Taking taylor expansion of a in a 0.995 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 0.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 0.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 0.995 * [taylor]: Taking taylor expansion of 1/3 in a 0.995 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 0.995 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.995 * [taylor]: Taking taylor expansion of a in a 1.051 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 a) 1/3)) in (a) around 0 1.051 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 a) 1/3)) in a 1.051 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.051 * [taylor]: Taking taylor expansion of -1 in a 1.052 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.052 * [taylor]: Taking taylor expansion of 1/3 in a 1.052 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.052 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.052 * [taylor]: Taking taylor expansion of a in a 1.053 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 a) 1/3)) in a 1.053 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.053 * [taylor]: Taking taylor expansion of -1 in a 1.054 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.054 * [taylor]: Taking taylor expansion of 1/3 in a 1.054 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.054 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.054 * [taylor]: Taking taylor expansion of a in a 1.121 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.121 * [approximate]: Taking taylor expansion of (pow a 1/3) in (a) around 0 1.121 * [taylor]: Taking taylor expansion of (pow a 1/3) in a 1.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log a))) in a 1.121 * [taylor]: Taking taylor expansion of (* 1/3 (log a)) in a 1.121 * [taylor]: Taking taylor expansion of 1/3 in a 1.121 * [taylor]: Taking taylor expansion of (log a) in a 1.121 * [taylor]: Taking taylor expansion of a in a 1.122 * [taylor]: Taking taylor expansion of (pow a 1/3) in a 1.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log a))) in a 1.122 * [taylor]: Taking taylor expansion of (* 1/3 (log a)) in a 1.122 * [taylor]: Taking taylor expansion of 1/3 in a 1.122 * [taylor]: Taking taylor expansion of (log a) in a 1.122 * [taylor]: Taking taylor expansion of a in a 1.175 * [approximate]: Taking taylor expansion of (pow (/ 1 a) 1/3) in (a) around 0 1.175 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.175 * [taylor]: Taking taylor expansion of 1/3 in a 1.175 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.175 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.175 * [taylor]: Taking taylor expansion of a in a 1.176 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.176 * [taylor]: Taking taylor expansion of 1/3 in a 1.176 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.176 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.176 * [taylor]: Taking taylor expansion of a in a 1.226 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 a) 1/3)) in (a) around 0 1.226 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 a) 1/3)) in a 1.226 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.226 * [taylor]: Taking taylor expansion of -1 in a 1.227 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.227 * [taylor]: Taking taylor expansion of 1/3 in a 1.227 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.227 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.227 * [taylor]: Taking taylor expansion of a in a 1.228 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 a) 1/3)) in a 1.228 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.228 * [taylor]: Taking taylor expansion of -1 in a 1.229 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.229 * [taylor]: Taking taylor expansion of 1/3 in a 1.229 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.229 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.229 * [taylor]: Taking taylor expansion of a in a 1.296 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.296 * [approximate]: Taking taylor expansion of (pow a 1/3) in (a) around 0 1.296 * [taylor]: Taking taylor expansion of (pow a 1/3) in a 1.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log a))) in a 1.296 * [taylor]: Taking taylor expansion of (* 1/3 (log a)) in a 1.296 * [taylor]: Taking taylor expansion of 1/3 in a 1.296 * [taylor]: Taking taylor expansion of (log a) in a 1.296 * [taylor]: Taking taylor expansion of a in a 1.297 * [taylor]: Taking taylor expansion of (pow a 1/3) in a 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log a))) in a 1.297 * [taylor]: Taking taylor expansion of (* 1/3 (log a)) in a 1.297 * [taylor]: Taking taylor expansion of 1/3 in a 1.297 * [taylor]: Taking taylor expansion of (log a) in a 1.297 * [taylor]: Taking taylor expansion of a in a 1.350 * [approximate]: Taking taylor expansion of (pow (/ 1 a) 1/3) in (a) around 0 1.350 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.350 * [taylor]: Taking taylor expansion of 1/3 in a 1.350 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.350 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.350 * [taylor]: Taking taylor expansion of a in a 1.351 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.351 * [taylor]: Taking taylor expansion of 1/3 in a 1.351 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.351 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.351 * [taylor]: Taking taylor expansion of a in a 1.409 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 a) 1/3)) in (a) around 0 1.409 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 a) 1/3)) in a 1.409 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.409 * [taylor]: Taking taylor expansion of -1 in a 1.410 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.410 * [taylor]: Taking taylor expansion of 1/3 in a 1.410 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.410 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.410 * [taylor]: Taking taylor expansion of a in a 1.411 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 a) 1/3)) in a 1.411 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.411 * [taylor]: Taking taylor expansion of -1 in a 1.412 * [taylor]: Taking taylor expansion of (pow (/ 1 a) 1/3) in a 1.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 a)))) in a 1.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 a))) in a 1.412 * [taylor]: Taking taylor expansion of 1/3 in a 1.412 * [taylor]: Taking taylor expansion of (log (/ 1 a)) in a 1.412 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.412 * [taylor]: Taking taylor expansion of a in a 1.480 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.480 * [approximate]: Taking taylor expansion of (pow (pow a 2) 1/3) in (a) around 0 1.480 * [taylor]: Taking taylor expansion of (pow (pow a 2) 1/3) in a 1.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow a 2)))) in a 1.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow a 2))) in a 1.480 * [taylor]: Taking taylor expansion of 1/3 in a 1.480 * [taylor]: Taking taylor expansion of (log (pow a 2)) in a 1.480 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.480 * [taylor]: Taking taylor expansion of a in a 1.481 * [taylor]: Taking taylor expansion of (pow (pow a 2) 1/3) in a 1.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow a 2)))) in a 1.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow a 2))) in a 1.481 * [taylor]: Taking taylor expansion of 1/3 in a 1.481 * [taylor]: Taking taylor expansion of (log (pow a 2)) in a 1.481 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.481 * [taylor]: Taking taylor expansion of a in a 1.532 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow a 2)) 1/3) in (a) around 0 1.532 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow a 2)) 1/3) in a 1.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow a 2))))) in a 1.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow a 2)))) in a 1.532 * [taylor]: Taking taylor expansion of 1/3 in a 1.532 * [taylor]: Taking taylor expansion of (log (/ 1 (pow a 2))) in a 1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 1.532 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.532 * [taylor]: Taking taylor expansion of a in a 1.533 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow a 2)) 1/3) in a 1.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow a 2))))) in a 1.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow a 2)))) in a 1.533 * [taylor]: Taking taylor expansion of 1/3 in a 1.533 * [taylor]: Taking taylor expansion of (log (/ 1 (pow a 2))) in a 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 1.533 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.533 * [taylor]: Taking taylor expansion of a in a 1.594 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow a 2)) 1/3)) in (a) around 0 1.594 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow a 2)) 1/3)) in a 1.594 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 1.594 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.594 * [taylor]: Taking taylor expansion of -1 in a 1.595 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow a 2)) 1/3) in a 1.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow a 2))))) in a 1.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow a 2)))) in a 1.595 * [taylor]: Taking taylor expansion of 1/3 in a 1.595 * [taylor]: Taking taylor expansion of (log (/ 1 (pow a 2))) in a 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 1.595 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.595 * [taylor]: Taking taylor expansion of a in a 1.596 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow a 2)) 1/3)) in a 1.596 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in a 1.596 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.596 * [taylor]: Taking taylor expansion of -1 in a 1.597 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow a 2)) 1/3) in a 1.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow a 2))))) in a 1.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow a 2)))) in a 1.597 * [taylor]: Taking taylor expansion of 1/3 in a 1.597 * [taylor]: Taking taylor expansion of (log (/ 1 (pow a 2))) in a 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 1.597 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.597 * [taylor]: Taking taylor expansion of a in a 1.676 * * * [progress]: simplifying candidates 1.677 * [simplify]: Simplifying using # : (expm1 (cbrt a)) (log1p (cbrt a)) (log (cbrt a)) (exp (cbrt a)) (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)) (cbrt (sqrt a)) (cbrt (sqrt a)) (cbrt 1) (cbrt a) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)) (* (* (cbrt a) (cbrt a)) (cbrt a)) (sqrt (cbrt a)) (sqrt (cbrt a)) (expm1 (cbrt a)) (log1p (cbrt a)) (log (cbrt a)) (exp (cbrt a)) (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)) (cbrt (sqrt a)) (cbrt (sqrt a)) (cbrt 1) (cbrt a) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)) (* (* (cbrt a) (cbrt a)) (cbrt a)) (sqrt (cbrt a)) (sqrt (cbrt a)) (expm1 (cbrt a)) (log1p (cbrt a)) (log (cbrt a)) (exp (cbrt a)) (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)) (cbrt (sqrt a)) (cbrt (sqrt a)) (cbrt 1) (cbrt a) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)) (* (* (cbrt a) (cbrt a)) (cbrt a)) (sqrt (cbrt a)) (sqrt (cbrt a)) (expm1 (* (cbrt a) (cbrt a))) (log1p (* (cbrt a) (cbrt a))) (+ 1/3 1/3) (+ 1 1) (* a a) (* (cbrt a) (cbrt a)) (+ 1 1) (+ (log (cbrt a)) (log (cbrt a))) (log (* (cbrt a) (cbrt a))) (exp (* (cbrt a) (cbrt a))) (* a a) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (cbrt (* (cbrt a) (cbrt a))) (* (* (* (cbrt a) (cbrt a)) (* (cbrt a) (cbrt a))) (* (cbrt a) (cbrt a))) (sqrt (* (cbrt a) (cbrt a))) (sqrt (* (cbrt a) (cbrt a))) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (* (cbrt (sqrt a)) (cbrt (sqrt a))) (* (cbrt (sqrt a)) (cbrt (sqrt a))) (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (* (sqrt (cbrt a)) (sqrt (cbrt a))) (* (sqrt (cbrt a)) (sqrt (cbrt a))) (* 1 1) (* (cbrt a) (cbrt a)) (* (cbrt (sqrt a)) (cbrt (sqrt a))) (* (cbrt (sqrt a)) (cbrt (sqrt a))) (* (cbrt (sqrt a)) (sqrt (cbrt a))) (* (cbrt (sqrt a)) (sqrt (cbrt a))) (* (sqrt (cbrt a)) (cbrt (sqrt a))) (* (sqrt (cbrt a)) (cbrt (sqrt a))) (* (sqrt (cbrt a)) (sqrt (cbrt a))) (* (sqrt (cbrt a)) (sqrt (cbrt a))) (* 2 1/3) (* 2 1) (* (cbrt a) (cbrt (* (cbrt a) (cbrt a)))) (* (cbrt a) (cbrt (sqrt a))) (* (cbrt a) (cbrt 1)) (* (cbrt a) (* (cbrt (cbrt a)) (cbrt (cbrt a)))) (* (cbrt a) (sqrt (cbrt a))) (* (cbrt a) 1) (* (cbrt (cbrt a)) (cbrt a)) (* (cbrt (sqrt a)) (cbrt a)) (* (cbrt a) (cbrt a)) (* (cbrt (cbrt a)) (cbrt a)) (* (sqrt (cbrt a)) (cbrt a)) (* (cbrt a) (cbrt a)) (pow a 1/3) (pow (/ 1 a) -1/3) (* (pow (* -1 a) 1/3) (cbrt -1)) (pow a 1/3) (pow (/ 1 a) -1/3) (* (pow (* -1 a) 1/3) (cbrt -1)) (pow a 1/3) (pow (/ 1 a) -1/3) (* (pow (* -1 a) 1/3) (cbrt -1)) (pow a 2/3) (pow (/ 1 a) -2/3) (* (pow (cbrt -1) 2) (pow (pow a 2) 1/3)) 1.681 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.684 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.698 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.762 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.764 * [simplify]: Simplified to: (expm1 (cbrt a)) (log1p (cbrt a)) (log (cbrt a)) (exp (cbrt a)) (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)) (cbrt (sqrt a)) (cbrt (sqrt a)) 1 (pow a 1/3) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)) a (sqrt (cbrt a)) (sqrt (cbrt a)) (expm1 (cbrt a)) (log1p (cbrt a)) (log (cbrt a)) (exp (cbrt a)) (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)) (cbrt (sqrt a)) (cbrt (sqrt a)) 1 (pow a 1/3) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)) a (sqrt (cbrt a)) (sqrt (cbrt a)) (expm1 (cbrt a)) (log1p (cbrt a)) (log (cbrt a)) (exp (cbrt a)) (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)) (cbrt (sqrt a)) (cbrt (sqrt a)) 1 (pow a 1/3) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)) a (sqrt (cbrt a)) (sqrt (cbrt a)) (expm1 (* (cbrt a) (cbrt a))) (log1p (* (cbrt a) (cbrt a))) 2/3 2 (pow a 2) (pow a 2/3) 2 (* 2/3 (log a)) (* 2/3 (log a)) (exp (pow a 2/3)) (pow a 2) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (cbrt (* (cbrt a) (cbrt a))) (pow a 2) (fabs (pow a 1/3)) (fabs (pow a 1/3)) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (* (cbrt (sqrt a)) (cbrt (sqrt a))) (* (cbrt (sqrt a)) (cbrt (sqrt a))) 1 (pow a 2/3) (pow (cbrt (cbrt a)) 4) (* (cbrt (cbrt a)) (cbrt (cbrt a))) (pow a 1/3) (pow a 1/3) 1 (pow a 2/3) (* (cbrt (sqrt a)) (cbrt (sqrt a))) (* (cbrt (sqrt a)) (cbrt (sqrt a))) (* (cbrt (sqrt a)) (sqrt (cbrt a))) (* (cbrt (sqrt a)) (sqrt (cbrt a))) (* (cbrt (sqrt a)) (sqrt (cbrt a))) (* (cbrt (sqrt a)) (sqrt (cbrt a))) (pow a 1/3) (pow a 1/3) 2/3 2 (* (cbrt a) (cbrt (* (cbrt a) (cbrt a)))) (* (cbrt a) (cbrt (sqrt a))) (pow a 1/3) (pow (cbrt (cbrt a)) 5) (pow (sqrt (cbrt a)) 3) (pow a 1/3) (pow (cbrt (cbrt a)) 4) (* (cbrt a) (cbrt (sqrt a))) (pow a 2/3) (pow (cbrt (cbrt a)) 4) (pow (sqrt (cbrt a)) 3) (pow a 2/3) (pow a 1/3) (pow (/ 1 a) -1/3) (* (pow (* -1 a) 1/3) (cbrt -1)) (pow a 1/3) (pow (/ 1 a) -1/3) (* (pow (* -1 a) 1/3) (cbrt -1)) (pow a 1/3) (pow (/ 1 a) -1/3) (* (pow (* -1 a) 1/3) (cbrt -1)) (pow a 2/3) (pow (/ 1 a) -2/3) (* (pow (cbrt -1) 2) (pow (pow a 2) 1/3)) 1.765 * * * [progress]: adding candidates to table 1.961 * [progress]: [Phase 3 of 3] Extracting. 1.961 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.962 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 1.962 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # # # #) 1.998 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # #) 2.030 * * * [regime]: Found split indices: #