34.717 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.019 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.020 * * [simplify]: iteration done : 4 enodes (cost 5 ) 0.020 * [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) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [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 0.039 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.039 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.039 * [taylor]: Taking taylor expansion of -1 in a 0.039 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.039 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.039 * [taylor]: Taking taylor expansion of a in a 0.039 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.039 * [taylor]: Taking taylor expansion of -1 in a 0.039 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.039 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.039 * [taylor]: Taking taylor expansion of a in a 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.045 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.045 * [taylor]: Taking taylor expansion of a in a 0.045 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.046 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.046 * [taylor]: Taking taylor expansion of a in a 0.046 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.055 * * * [progress]: simplifying candidates 0.056 * [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))) 0.058 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.081 * * [simplify]: iteration 1 : 166 enodes (cost 581 ) 0.110 * * [simplify]: iteration 2 : 390 enodes (cost 561 ) 0.262 * * [simplify]: iteration 3 : 1186 enodes (cost 557 ) 0.825 * * [simplify]: iteration 4 : 2610 enodes (cost 556 ) 1.888 * * [simplify]: iteration done : 5000 enodes (cost 554 ) 1.888 * [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)))) (- 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))) (/ (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)) (/ (* (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)) (/ (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)) (/ (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 (/ 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 (/ a (- (acos a))) (/ -1 (acos a)) (- (/ (acos a) a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (- a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (- a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (- (/ (acos a) a)) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 1.889 * * * [progress]: adding candidates to table 1.993 * * [progress]: iteration 2 / 4 1.993 * * * [progress]: picking best candidate 2.007 * * * * [pick]: Picked # 2.007 * * * [progress]: localizing error 2.013 * * * [progress]: generating rewritten candidates 2.013 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.024 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 2.034 * * * [progress]: generating series expansions 2.034 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.034 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.034 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.034 * [taylor]: Taking taylor expansion of -1 in a 2.034 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.034 * [taylor]: Taking taylor expansion of a in a 2.034 * [taylor]: Taking taylor expansion of (acos a) in a 2.035 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.035 * [taylor]: Taking taylor expansion of -1 in a 2.035 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.035 * [taylor]: Taking taylor expansion of a in a 2.035 * [taylor]: Taking taylor expansion of (acos a) in a 2.042 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 2.042 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.042 * [taylor]: Taking taylor expansion of -1 in a 2.042 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.042 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.042 * [taylor]: Taking taylor expansion of a in a 2.043 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 2.043 * [taylor]: Taking taylor expansion of -1 in a 2.043 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.043 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.043 * [taylor]: Taking taylor expansion of a in a 2.053 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.053 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.053 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.053 * [taylor]: Taking taylor expansion of a in a 2.053 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.054 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.054 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.054 * [taylor]: Taking taylor expansion of a in a 2.054 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.063 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 2.063 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 2.063 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.063 * [taylor]: Taking taylor expansion of (acos a) in a 2.063 * [taylor]: Taking taylor expansion of a in a 2.063 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.063 * [taylor]: Taking taylor expansion of (acos a) in a 2.063 * [taylor]: Taking taylor expansion of a in a 2.072 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 2.072 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.072 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.072 * [taylor]: Taking taylor expansion of a in a 2.072 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 2.072 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.072 * [taylor]: Taking taylor expansion of a in a 2.076 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 2.076 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 2.076 * [taylor]: Taking taylor expansion of -1 in a 2.076 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.076 * [taylor]: Taking taylor expansion of a in a 2.076 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.076 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 2.076 * [taylor]: Taking taylor expansion of -1 in a 2.076 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.076 * [taylor]: Taking taylor expansion of a in a 2.076 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.091 * * * [progress]: simplifying candidates 2.094 * [simplify]: Simplifying using # : (expm1 (/ 1 (- (/ (acos a) a)))) (log1p (/ 1 (- (/ (acos a) a)))) (- 1) (- (log (- (/ (acos a) a)))) (- 0 (log (- (/ (acos a) a)))) (- (log 1) (log (- (/ (acos a) a)))) (log (/ 1 (- (/ (acos a) a)))) (exp (/ 1 (- (/ (acos 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)) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (cbrt 1) (cbrt (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (/ (acos a) a)))) (/ (cbrt 1) (sqrt (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) 1))) (/ (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 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ (cbrt 1) (- (cbrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (acos a) a))) (/ (cbrt 1) (- (sqrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (- (/ (cbrt (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (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 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (- (/ 1 a))) (/ (sqrt 1) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ (sqrt 1) (cbrt (- (/ (acos a) a)))) (/ (sqrt 1) (sqrt (- (/ (acos a) a)))) (/ (sqrt 1) (sqrt (- (/ (acos a) a)))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (/ (acos a) a))) (/ (sqrt 1) -1) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (sqrt 1) (cbrt (/ (acos a) a))) (/ (sqrt 1) (- (sqrt (/ (acos a) a)))) (/ (sqrt 1) (sqrt (/ (acos a) a))) (/ (sqrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (sqrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (sqrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (- (/ (sqrt (acos a)) 1))) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (- (/ 1 (sqrt a)))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (- (/ 1 1))) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (- 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ (sqrt 1) (- (cbrt (/ (acos a) a)))) (/ (sqrt 1) (sqrt (/ (acos a) a))) (/ (sqrt 1) (- (sqrt (/ (acos a) a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (- (/ (cbrt (acos a)) (cbrt a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (- (/ (cbrt (acos a)) (sqrt a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (- (/ (cbrt (acos a)) a))) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (- (/ (sqrt (acos a)) a))) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (- (/ (acos a) (cbrt a)))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (- (/ (acos a) (sqrt a)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (- (/ (acos a) a))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (/ (acos a) a))) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (- (/ 1 a))) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 1) (/ 1 (- (/ (acos a) a))) (/ 1 -1) (/ 1 (/ (acos a) a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (- (/ (sqrt (acos a)) (sqrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (- (/ (sqrt (acos a)) 1))) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (- (/ 1 (* (cbrt a) (cbrt a))))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (- (/ 1 (sqrt a)))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (- (/ 1 1))) (/ 1 (/ (acos a) a)) (/ 1 (- 1)) (/ 1 (/ (acos a) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (- (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (- (/ (cbrt (acos a)) (sqrt a)))) (/ 1 (/ (* (cbrt 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(- (/ (sqrt (acos a)) (sqrt a)))) (/ 1 (- (/ (sqrt (acos a)) 1))) (/ 1 (- (/ 1 (* (cbrt a) (cbrt a))))) (/ 1 (- (/ 1 (sqrt a)))) (/ 1 (- (/ 1 1))) (/ 1 (- 1)) (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (acos a)) (/ (- (/ (acos a) a)) (cbrt 1)) (/ (- (/ (acos a) a)) (sqrt 1)) (/ (- (/ (acos a) a)) 1) (/ 1 (- (acos a))) (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) (/ (/ PI 2) a) (/ (asin 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) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (/ (acos a) 1) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 2.100 * * [simplify]: iteration 0 : 265 enodes (cost 2409 ) 2.205 * * [simplify]: iteration 1 : 487 enodes (cost 2004 ) 2.318 * * [simplify]: iteration 2 : 1059 enodes (cost 1861 ) 2.870 * * [simplify]: iteration 3 : 2724 enodes (cost 1711 ) 4.117 * * [simplify]: iteration done : 5001 enodes (cost 1706 ) 4.118 * [simplify]: Simplified to: (expm1 (- (/ a (acos a)))) (log1p (- (/ a (acos a)))) -1 (log (- (/ a (acos a)))) (log (- (/ 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 (/ (acos a) a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (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)))) (/ (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))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ (/ 1 (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (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))) (/ (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)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (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)))) (/ (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))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ (/ 1 (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (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))) (/ (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)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (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)))) (/ (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))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ (/ 1 (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (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))) (/ (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)) (/ (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)))) 1 -1 (/ 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 (/ -1 (acos 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 (/ 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) (/ (/ PI 2) a) (/ (asin a) a) (* (/ (/ (cbrt (acos a)) (cbrt a)) (cbrt a)) (cbrt (acos 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) (* (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 (acos a))) (- (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 4.120 * * * [progress]: adding candidates to table 4.328 * * [progress]: iteration 3 / 4 4.328 * * * [progress]: picking best candidate 4.348 * * * * [pick]: Picked # 4.349 * * * [progress]: localizing error 4.355 * * * [progress]: generating rewritten candidates 4.355 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.375 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.417 * * * [progress]: generating series expansions 4.417 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.417 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 4.417 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.418 * [taylor]: Taking taylor expansion of -1 in a 4.418 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.418 * [taylor]: Taking taylor expansion of a in a 4.418 * [taylor]: Taking taylor expansion of (acos a) in a 4.418 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.418 * [taylor]: Taking taylor expansion of -1 in a 4.418 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.418 * [taylor]: Taking taylor expansion of a in a 4.418 * [taylor]: Taking taylor expansion of (acos a) in a 4.425 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 4.425 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.425 * [taylor]: Taking taylor expansion of -1 in a 4.425 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.425 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.425 * [taylor]: Taking taylor expansion of a in a 4.426 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.426 * [taylor]: Taking taylor expansion of -1 in a 4.426 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.426 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.426 * [taylor]: Taking taylor expansion of a in a 4.432 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 4.432 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.432 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.432 * [taylor]: Taking taylor expansion of a in a 4.432 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.432 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.432 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.432 * [taylor]: Taking taylor expansion of a in a 4.432 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.441 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.441 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 4.441 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 4.441 * [taylor]: Taking taylor expansion of (acos a) in a 4.441 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 4.441 * [taylor]: Taking taylor expansion of (acos a) in a 4.442 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 4.442 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 4.442 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.443 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 4.443 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.444 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 4.444 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 4.444 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.444 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 4.444 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.446 * * * [progress]: simplifying candidates 4.454 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 (acos a)) (- (/ 1 a)))) (log1p (/ (/ 1 (acos a)) (- (/ 1 a)))) (- (- (log (acos a))) (log (- (/ 1 a)))) (- (- 0 (log (acos a))) (log (- (/ 1 a)))) (- (- (log 1) (log (acos a))) (log (- (/ 1 a)))) (- (log (/ 1 (acos a))) (log (- (/ 1 a)))) (log (/ (/ 1 (acos a)) (- (/ 1 a)))) (exp (/ (/ 1 (acos a)) (- (/ 1 a)))) (/ (/ (* (* 1 1) 1) (* (* (acos a) (acos a)) (acos a))) (* (* (- (/ 1 a)) (- (/ 1 a))) (- (/ 1 a)))) (/ (* (* (/ 1 (acos a)) (/ 1 (acos a))) (/ 1 (acos a))) (* (* (- (/ 1 a)) (- (/ 1 a))) (- (/ 1 a)))) (* (cbrt (/ (/ 1 (acos a)) (- (/ 1 a)))) (cbrt (/ (/ 1 (acos a)) (- (/ 1 a))))) (cbrt (/ (/ 1 (acos a)) 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a))) (/ -1 (cbrt a))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* -1 (sqrt a)) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (- a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (/ -1 (cbrt a))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* -1 (sqrt a)) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (- a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (- a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (- a) (cbrt (acos a))) (/ (/ 1 (sqrt (acos a))) (* (cbrt (/ -1 a)) (cbrt (/ -1 a)))) (/ (/ 1 (sqrt (acos a))) (cbrt (/ -1 a))) (/ (/ 1 (sqrt (acos a))) (sqrt (/ -1 a))) (/ (/ 1 (sqrt (acos a))) (sqrt (/ -1 a))) (/ 1 (sqrt (acos a))) (/ (- a) (sqrt (acos a))) (/ -1 (sqrt (acos a))) (* (/ 1 (sqrt (acos a))) a) (/ (/ 1 (sqrt (acos a))) (- (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))) (/ (/ 1 (sqrt (acos a))) (cbrt (/ 1 a))) (/ (/ 1 (sqrt (acos a))) (- (sqrt (/ 1 a)))) (/ (/ 1 (sqrt (acos a))) (sqrt (/ 1 a))) (* (/ -1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (acos a))) (cbrt a)) (* (/ -1 (sqrt (acos a))) (sqrt a)) (/ (sqrt a) (sqrt (acos a))) (/ -1 (sqrt (acos a))) (* (/ 1 (sqrt (acos a))) a) (* (/ -1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (acos a))) (cbrt a)) (* (/ -1 (sqrt (acos a))) (sqrt a)) (/ (sqrt a) (sqrt (acos a))) (/ -1 (sqrt (acos a))) (* (/ 1 (sqrt (acos a))) a) (* (/ -1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (acos a))) (cbrt a)) (* (/ -1 (sqrt (acos a))) (sqrt a)) (/ (sqrt a) (sqrt (acos a))) (/ -1 (sqrt (acos a))) (* (/ 1 (sqrt (acos a))) a) (/ -1 (sqrt (acos a))) (* (/ 1 (sqrt (acos a))) a) (/ -1 (sqrt (acos a))) (* (/ 1 (sqrt (acos a))) a) (/ (/ (/ 1 (sqrt (acos a))) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ (/ 1 (sqrt (acos a))) (- (cbrt (/ 1 a)))) (/ (/ 1 (sqrt (acos a))) (sqrt (/ 1 a))) (/ (/ 1 (sqrt (acos a))) (- (sqrt (/ 1 a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (* (/ -1 (sqrt 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(/ (sqrt a) (acos a)) -1 (* (/ 1 (acos a)) a) (* (* (cbrt a) (cbrt a)) -1) (* (/ 1 (acos a)) (cbrt a)) (* (sqrt a) -1) (/ (sqrt a) (acos a)) -1 (* (/ 1 (acos a)) a) (* (* (cbrt a) (cbrt a)) -1) (* (/ 1 (acos a)) (cbrt a)) (* (sqrt a) -1) (/ (sqrt a) (acos a)) -1 (* (/ 1 (acos a)) a) -1 (* (/ 1 (acos a)) a) -1 (* (/ 1 (acos a)) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (acos a)) (- (cbrt (/ 1 a)))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (acos a)) (- (sqrt (/ 1 a)))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (* -1 (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (* -1 (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (* -1 (sqrt a)) (acos a)) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (* (cbrt (/ -1 a)) (cbrt (/ -1 a)))) (/ (/ 1 (acos a)) (cbrt (/ -1 a))) (/ 1 (sqrt (/ -1 a))) (/ (/ 1 (acos a)) (sqrt (/ -1 a))) 1 (- (/ a (acos a))) -1 (* (/ 1 (acos a)) a) (/ 1 (- (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))) (/ (/ 1 (acos a)) (cbrt (/ 1 a))) (/ 1 (- (sqrt (/ 1 a)))) (/ (/ 1 (acos a)) (sqrt (/ 1 a))) (* (* (cbrt a) (cbrt a)) -1) (* (/ 1 (acos a)) (cbrt a)) (* (sqrt a) -1) (/ (sqrt a) (acos a)) -1 (* (/ 1 (acos a)) a) (* (* (cbrt a) (cbrt a)) -1) (* (/ 1 (acos a)) (cbrt a)) (* (sqrt a) -1) (/ (sqrt a) (acos a)) -1 (* (/ 1 (acos a)) a) (* (* (cbrt a) (cbrt a)) -1) (* (/ 1 (acos a)) (cbrt a)) (* (sqrt a) -1) (/ (sqrt a) (acos a)) -1 (* (/ 1 (acos a)) a) -1 (* (/ 1 (acos a)) a) -1 (* (/ 1 (acos a)) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (acos a)) (- (cbrt (/ 1 a)))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (acos a)) (- (sqrt (/ 1 a)))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (* -1 (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (* -1 (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (* -1 (sqrt a)) (acos a)) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (* (cbrt (/ -1 a)) (cbrt (/ -1 a)))) (/ (/ 1 (acos a)) (cbrt (/ -1 a))) (/ 1 (sqrt (/ -1 a))) (/ (/ 1 (acos a)) (sqrt (/ -1 a))) 1 (- (/ a (acos a))) -1 (* (/ 1 (acos a)) a) (/ 1 (- (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))) (/ (/ 1 (acos a)) (cbrt (/ 1 a))) (/ 1 (- (sqrt (/ 1 a)))) (/ (/ 1 (acos a)) (sqrt (/ 1 a))) (* (* (cbrt a) (cbrt a)) -1) (* (/ 1 (acos a)) (cbrt a)) (* (sqrt a) -1) (/ (sqrt a) (acos a)) -1 (* (/ 1 (acos a)) a) (* (* (cbrt a) (cbrt a)) -1) (* (/ 1 (acos a)) (cbrt a)) (* (sqrt a) -1) (/ (sqrt a) (acos a)) -1 (* (/ 1 (acos a)) a) (* (* (cbrt a) (cbrt a)) -1) (* (/ 1 (acos a)) (cbrt a)) (* (sqrt a) -1) (/ (sqrt a) (acos a)) -1 (* (/ 1 (acos a)) a) -1 (* (/ 1 (acos a)) a) -1 (* (/ 1 (acos a)) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (acos a)) (- (cbrt (/ 1 a)))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (acos a)) (- (sqrt (/ 1 a)))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (* -1 (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (* -1 (sqrt a)) (acos a)) 1 (- (/ a (acos a))) (* (cbrt a) (cbrt a)) (* (/ -1 (acos a)) (cbrt a)) (sqrt a) (/ (* -1 (sqrt a)) (acos a)) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (- a) (/ (- (acos a)) a) (/ 1 (* (* (cbrt (/ -1 a)) (cbrt (/ -1 a))) (acos a))) (/ (/ 1 (acos a)) (sqrt (/ -1 a))) (/ 1 (acos a)) (/ -1 (acos a)) (/ (/ 1 (acos a)) (- (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))) (/ (/ 1 (acos a)) (- (sqrt (/ 1 a)))) (/ (* -1 (* (cbrt a) (cbrt a))) (acos a)) (/ (* -1 (sqrt a)) (acos a)) (/ -1 (acos a)) (/ (* -1 (* (cbrt a) (cbrt a))) (acos a)) (/ (* -1 (sqrt a)) (acos a)) (/ -1 (acos a)) (/ (* -1 (* (cbrt a) (cbrt a))) (acos a)) (/ (* -1 (sqrt a)) (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ (/ 1 (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (acos a)) (sqrt (/ 1 a))) (/ (* (cbrt a) (cbrt a)) (acos a)) (/ (sqrt a) (acos a)) (/ 1 (acos a)) (/ (* (cbrt a) (cbrt a)) (acos a)) (/ (sqrt a) (acos a)) (/ 1 (acos a)) (/ (* (cbrt a) (cbrt a)) (acos a)) (/ (sqrt a) (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ (/ -1 a) (cbrt (/ 1 (acos a)))) (/ (/ -1 a) (sqrt (/ 1 (acos a)))) (* (/ -1 a) (cbrt (acos a))) (- (/ (sqrt (acos a)) a)) (/ (- (acos a)) a) (* (/ -1 a) (cbrt (acos a))) (- (/ (sqrt (acos a)) a)) (/ (- (acos a)) a) (* (/ -1 a) (cbrt (acos a))) (- (/ (sqrt (acos a)) a)) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ -1 (acos a)) (/ (- (acos a)) a) (expm1 (/ 1 (acos a))) (log1p (/ 1 (acos a))) -1 (- (log (acos a))) (- (log (acos a))) (- (log (acos a))) (- (log (acos a))) (exp (/ 1 (acos a))) (pow (/ 1 (acos a)) 3) (* (cbrt (/ 1 (acos a))) (cbrt (/ 1 (acos a)))) (cbrt (/ 1 (acos a))) (pow (/ 1 (acos a)) 3) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) -1 (- (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ 1 (acos a)) (acos a) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (sqrt (acos a))) 1 (acos a) (acos a) (acos a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) 6.514 * * * [progress]: adding candidates to table 6.833 * * [progress]: iteration 4 / 4 6.834 * * * [progress]: picking best candidate 6.841 * * * * [pick]: Picked # 6.842 * * * [progress]: localizing error 6.852 * * * [progress]: generating rewritten candidates 6.852 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.853 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 6.863 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 6.865 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 6.877 * * * [progress]: generating series expansions 6.877 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.877 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos a)))) in (a) around 0 6.877 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos a)))) in a 6.877 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos a)))) 1) 6.877 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos a)))) in a 6.877 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos a))) in a 6.877 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos a)))) 6.877 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos a))) in a 6.877 * [taylor]: Taking taylor expansion of 1 in a 6.877 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 6.877 * [taylor]: Taking taylor expansion of (acos a) in a 6.877 * [taylor]: Taking taylor expansion of 1 in a 6.878 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos a)))) in a 6.878 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos a)))) 1) 6.878 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos a)))) in a 6.878 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos a))) in a 6.878 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos a)))) 6.878 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos a))) in a 6.878 * [taylor]: Taking taylor expansion of 1 in a 6.878 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 6.878 * [taylor]: Taking taylor expansion of (acos a) in a 6.878 * [taylor]: Taking taylor expansion of 1 in a 6.914 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ 1 a))))) in (a) around 0 6.914 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ 1 a))))) in a 6.914 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos (/ 1 a))))) 1) 6.914 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos (/ 1 a))))) in a 6.914 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ 1 a)))) in a 6.914 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ 1 a))))) 6.914 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ 1 a)))) in a 6.914 * [taylor]: Taking taylor expansion of 1 in a 6.914 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 6.914 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.914 * [taylor]: Taking taylor expansion of 1 in a 6.914 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ 1 a))))) in a 6.914 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos (/ 1 a))))) 1) 6.914 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos (/ 1 a))))) in a 6.914 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ 1 a)))) in a 6.914 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ 1 a))))) 6.914 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ 1 a)))) in a 6.914 * [taylor]: Taking taylor expansion of 1 in a 6.914 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 6.915 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.915 * [taylor]: Taking taylor expansion of 1 in a 6.950 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ -1 a))))) in (a) around 0 6.950 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ -1 a))))) in a 6.950 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos (/ -1 a))))) 1) 6.951 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos (/ -1 a))))) in a 6.951 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ -1 a)))) in a 6.951 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ -1 a))))) 6.951 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ -1 a)))) in a 6.951 * [taylor]: Taking taylor expansion of 1 in a 6.954 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 6.954 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.955 * [taylor]: Taking taylor expansion of 1 in a 6.955 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ -1 a))))) in a 6.955 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos (/ -1 a))))) 1) 6.955 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos (/ -1 a))))) in a 6.955 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ -1 a)))) in a 6.955 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ -1 a))))) 6.955 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ -1 a)))) in a 6.955 * [taylor]: Taking taylor expansion of 1 in a 6.955 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 6.955 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.955 * [taylor]: Taking taylor expansion of 1 in a 6.991 * * * * [progress]: [ 2 / 4 ] generating series at (2) 6.991 * [approximate]: Taking taylor expansion of (* -1 (* a (expm1 (log1p (/ 1 (acos a)))))) in (a) around 0 6.991 * [taylor]: Taking taylor expansion of (* -1 (* a (expm1 (log1p (/ 1 (acos a)))))) in a 6.991 * [taylor]: Taking taylor expansion of -1 in a 6.991 * [taylor]: Taking taylor expansion of (* a (expm1 (log1p (/ 1 (acos a))))) in a 6.991 * [taylor]: Taking taylor expansion of a in a 6.991 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos a)))) in a 6.991 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos a)))) 1) 6.991 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos a)))) in a 6.991 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos a))) in a 6.991 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos a)))) 6.991 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos a))) in a 6.991 * [taylor]: Taking taylor expansion of 1 in a 6.991 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 6.991 * [taylor]: Taking taylor expansion of (acos a) in a 6.991 * [taylor]: Taking taylor expansion of 1 in a 6.991 * [taylor]: Taking taylor expansion of (* -1 (* a (expm1 (log1p (/ 1 (acos a)))))) in a 6.991 * [taylor]: Taking taylor expansion of -1 in a 6.991 * [taylor]: Taking taylor expansion of (* a (expm1 (log1p (/ 1 (acos a))))) in a 6.992 * [taylor]: Taking taylor expansion of a in a 6.992 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos a)))) in a 6.992 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos a)))) 1) 6.992 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos a)))) in a 6.992 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos a))) in a 6.992 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos a)))) 6.992 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos a))) in a 6.992 * [taylor]: Taking taylor expansion of 1 in a 6.992 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 6.992 * [taylor]: Taking taylor expansion of (acos a) in a 6.992 * [taylor]: Taking taylor expansion of 1 in a 7.060 * [approximate]: Taking taylor expansion of (* -1 (/ (expm1 (log1p (/ 1 (acos (/ 1 a))))) a)) in (a) around 0 7.060 * [taylor]: Taking taylor expansion of (* -1 (/ (expm1 (log1p (/ 1 (acos (/ 1 a))))) a)) in a 7.060 * [taylor]: Taking taylor expansion of -1 in a 7.060 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (/ 1 (acos (/ 1 a))))) a) in a 7.060 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ 1 a))))) in a 7.060 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos (/ 1 a))))) 1) 7.060 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos (/ 1 a))))) in a 7.060 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ 1 a)))) in a 7.060 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ 1 a))))) 7.060 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ 1 a)))) in a 7.060 * [taylor]: Taking taylor expansion of 1 in a 7.060 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 7.060 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.061 * [taylor]: Taking taylor expansion of 1 in a 7.061 * [taylor]: Taking taylor expansion of a in a 7.061 * [taylor]: Taking taylor expansion of (* -1 (/ (expm1 (log1p (/ 1 (acos (/ 1 a))))) a)) in a 7.061 * [taylor]: Taking taylor expansion of -1 in a 7.061 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (/ 1 (acos (/ 1 a))))) a) in a 7.061 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ 1 a))))) in a 7.061 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos (/ 1 a))))) 1) 7.061 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos (/ 1 a))))) in a 7.061 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ 1 a)))) in a 7.061 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ 1 a))))) 7.061 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ 1 a)))) in a 7.061 * [taylor]: Taking taylor expansion of 1 in a 7.061 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 7.061 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.062 * [taylor]: Taking taylor expansion of 1 in a 7.062 * [taylor]: Taking taylor expansion of a in a 7.110 * [approximate]: Taking taylor expansion of (/ (expm1 (log1p (/ 1 (acos (/ -1 a))))) a) in (a) around 0 7.110 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (/ 1 (acos (/ -1 a))))) a) in a 7.110 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ -1 a))))) in a 7.110 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos (/ -1 a))))) 1) 7.110 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos (/ -1 a))))) in a 7.110 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ -1 a)))) in a 7.111 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ -1 a))))) 7.111 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ -1 a)))) in a 7.111 * [taylor]: Taking taylor expansion of 1 in a 7.111 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 7.111 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.111 * [taylor]: Taking taylor expansion of 1 in a 7.111 * [taylor]: Taking taylor expansion of a in a 7.111 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (/ 1 (acos (/ -1 a))))) a) in a 7.111 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (acos (/ -1 a))))) in a 7.112 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (acos (/ -1 a))))) 1) 7.112 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (acos (/ -1 a))))) in a 7.112 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ -1 a)))) in a 7.112 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ -1 a))))) 7.112 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ -1 a)))) in a 7.112 * [taylor]: Taking taylor expansion of 1 in a 7.112 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 7.112 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.112 * [taylor]: Taking taylor expansion of 1 in a 7.112 * [taylor]: Taking taylor expansion of a in a 7.158 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 7.158 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 7.158 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 7.158 * [taylor]: Taking taylor expansion of (acos a) in a 7.158 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 7.158 * [taylor]: Taking taylor expansion of (acos a) in a 7.160 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 7.160 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 7.160 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.160 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 7.160 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.162 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 7.162 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 7.162 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.162 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 7.162 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.163 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 7.163 * [approximate]: Taking taylor expansion of (log1p (/ 1 (acos a))) in (a) around 0 7.163 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos a))) in a 7.163 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos a)))) 7.163 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos a))) in a 7.164 * [taylor]: Taking taylor expansion of 1 in a 7.164 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 7.164 * [taylor]: Taking taylor expansion of (acos a) in a 7.164 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos a))) in a 7.164 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos a)))) 7.164 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos a))) in a 7.164 * [taylor]: Taking taylor expansion of 1 in a 7.164 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 7.164 * [taylor]: Taking taylor expansion of (acos a) in a 7.186 * [approximate]: Taking taylor expansion of (log1p (/ 1 (acos (/ 1 a)))) in (a) around 0 7.186 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ 1 a)))) in a 7.186 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ 1 a))))) 7.186 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ 1 a)))) in a 7.186 * [taylor]: Taking taylor expansion of 1 in a 7.186 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 7.186 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.187 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ 1 a)))) in a 7.187 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ 1 a))))) 7.187 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ 1 a)))) in a 7.187 * [taylor]: Taking taylor expansion of 1 in a 7.187 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 7.187 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.213 * [approximate]: Taking taylor expansion of (log1p (/ 1 (acos (/ -1 a)))) in (a) around 0 7.213 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ -1 a)))) in a 7.213 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ -1 a))))) 7.213 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ -1 a)))) in a 7.213 * [taylor]: Taking taylor expansion of 1 in a 7.213 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 7.213 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.213 * [taylor]: Taking taylor expansion of (log1p (/ 1 (acos (/ -1 a)))) in a 7.213 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (acos (/ -1 a))))) 7.213 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (acos (/ -1 a)))) in a 7.213 * [taylor]: Taking taylor expansion of 1 in a 7.213 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 7.213 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.236 * * * [progress]: simplifying candidates 7.239 * [simplify]: Simplifying using # : (exp (log1p (/ 1 (acos a)))) (expm1 (expm1 (log1p (/ 1 (acos a))))) (log1p (expm1 (log1p (/ 1 (acos a))))) (log (expm1 (log1p (/ 1 (acos a))))) (exp (expm1 (log1p (/ 1 (acos a))))) (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (cbrt (expm1 (log1p (/ 1 (acos a))))) (* (* (expm1 (log1p (/ 1 (acos a)))) (expm1 (log1p (/ 1 (acos a))))) (expm1 (log1p (/ 1 (acos a))))) (sqrt (expm1 (log1p (/ 1 (acos a))))) (sqrt (expm1 (log1p (/ 1 (acos a))))) (expm1 (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (log1p (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (- (log (expm1 (log1p (/ 1 (acos a))))) (log (- (/ 1 a)))) (log (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (exp (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (/ (* (* (expm1 (log1p (/ 1 (acos a)))) (expm1 (log1p (/ 1 (acos a))))) (expm1 (log1p (/ 1 (acos a))))) (* (* (- (/ 1 a)) (- (/ 1 a))) (- (/ 1 a)))) (* (cbrt (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (cbrt (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a))))) (cbrt (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (* (* (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a))) (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (sqrt (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (sqrt (/ (expm1 (log1p (/ 1 (acos a)))) (- (/ 1 a)))) (- (expm1 (log1p (/ 1 (acos a))))) (- (- (/ 1 a))) (/ (exp (log1p (/ 1 (acos a)))) (- (/ 1 a))) (/ 1 (- (/ 1 a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (* (cbrt (- (/ 1 a))) (cbrt (- (/ 1 a))))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (- (/ 1 a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (sqrt (- (/ 1 a)))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (sqrt (- (/ 1 a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) 1) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ 1 a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) -1) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ 1 a)) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (/ 1 a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (sqrt (/ 1 a)))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (sqrt (/ 1 a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a))))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (/ (* (cbrt 1) (cbrt 1)) (sqrt a)))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (/ (* (cbrt 1) (cbrt 1)) 1))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ (cbrt 1) a)) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (/ (sqrt 1) (* (cbrt a) (cbrt a))))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ (sqrt 1) (cbrt a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (/ (sqrt 1) (sqrt a)))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ (sqrt 1) (sqrt a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (/ (sqrt 1) 1))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ (sqrt 1) a)) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ 1 (cbrt a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (/ 1 (sqrt a)))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ 1 (sqrt a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- (/ 1 1))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ 1 a)) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- 1)) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ 1 a)) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (- 1)) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (/ 1 a)) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (cbrt (/ 1 a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (sqrt (/ 1 a))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (sqrt (/ 1 a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ (cbrt 1) (cbrt a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ (cbrt 1) (sqrt a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ (cbrt 1) a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ (sqrt 1) (cbrt a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (/ (sqrt 1) (sqrt a))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ (sqrt 1) (sqrt a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (/ (sqrt 1) 1)) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ (sqrt 1) a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ 1 (cbrt a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (/ 1 (sqrt a))) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ 1 (sqrt a)))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos a)))))) (/ 1 1)) (/ (cbrt (expm1 (log1p (/ 1 (acos a))))) (- (/ 1 a))) (/ (* (cbrt (expm1 (log1p (/ 1 (acos a))))) (cbrt (expm1 (log1p (/ 1 (acos 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(cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ (- a) (acos a)) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ (- a) (acos a)) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ (- a) (acos a)) 1 (/ (- a) (acos a)) 1 (/ (- a) (acos a)) (- a) (- (/ (acos a) a)) (/ (/ 1 (acos a)) (* (cbrt (/ -1 a)) (cbrt (/ -1 a)))) (/ (/ 1 (acos a)) (sqrt (/ -1 a))) (/ 1 (acos a)) (/ -1 (acos a)) (/ (/ 1 (acos a)) (- (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))) (/ (/ 1 (acos a)) (- (sqrt (/ 1 a)))) (- (/ (* (cbrt a) (cbrt a)) (acos a))) (/ (sqrt a) (- (acos a))) (/ -1 (acos a)) (- (/ (* (cbrt a) (cbrt a)) (acos a))) (/ (sqrt a) (- (acos a))) (/ -1 (acos a)) (- (/ (* (cbrt a) (cbrt a)) (acos a))) (/ (sqrt a) (- (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ (/ 1 (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (acos a)) (sqrt (/ 1 a))) (/ (* (cbrt a) (cbrt a)) (acos a)) (/ (sqrt a) (acos a)) (/ 1 (acos a)) (/ (* (cbrt a) (cbrt a)) (acos a)) (/ (sqrt a) (acos a)) (/ 1 (acos a)) (/ (* (cbrt a) (cbrt a)) (acos a)) (/ (sqrt a) (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ (/ -1 a) (cbrt (/ 1 (acos a)))) (/ (/ -1 a) (sqrt (/ 1 (acos a)))) (- (/ (acos a) a)) (/ -1 (acos a)) (expm1 (/ 1 (acos a))) (log1p (/ 1 (acos a))) -1 (- (log (acos a))) (- (log (acos a))) (- (log (acos a))) (- (log (acos a))) (exp (/ 1 (acos a))) (/ 1 (pow (acos a) 3)) (* (cbrt (/ 1 (acos a))) (cbrt (/ 1 (acos a)))) (cbrt (/ 1 (acos a))) (/ 1 (pow (acos a) 3)) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) -1 (- (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ 1 (acos a)) (acos a) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (sqrt (acos a))) 1 (acos a) (acos a) (acos a) (exp (log1p (/ 1 (acos a)))) (/ 1 (acos a)) (log1p (log1p (/ 1 (acos a)))) (log (log1p (/ 1 (acos a)))) (exp (log1p (/ 1 (acos a)))) (* (cbrt (log1p (/ 1 (acos a)))) (cbrt (log1p (/ 1 (acos a))))) (cbrt (log1p (/ 1 (acos a)))) (pow (log1p (/ 1 (acos a))) 3) (sqrt (log1p (/ 1 (acos a)))) (sqrt (log1p (/ 1 (acos a)))) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) (log1p (/ 1 (acos a))) (log1p (/ 1 (acos a))) (log1p (/ 1 (acos a))) 9.414 * * * [progress]: adding candidates to table 9.693 * [progress]: [Phase 3 of 3] Extracting. 9.693 * * [regime]: Finding splitpoints for: (# # # # #) 9.693 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 9.693 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # #) 9.716 * * * * [regimes]: Trying to branch on a from (# # # # #) 9.733 * * * [regime]: Found split indices: #