23.014 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.021 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (/ a (- (acos a))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.033 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.033 * [taylor]: Taking taylor expansion of -1 in a 0.033 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.033 * [taylor]: Taking taylor expansion of a in a 0.033 * [taylor]: Taking taylor expansion of (acos a) in a 0.034 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.034 * [taylor]: Taking taylor expansion of -1 in a 0.034 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.034 * [taylor]: Taking taylor expansion of a in a 0.034 * [taylor]: Taking taylor expansion of (acos a) in a 0.041 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.041 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.041 * [taylor]: Taking taylor expansion of -1 in a 0.041 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.041 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.041 * [taylor]: Taking taylor expansion of a in a 0.041 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.041 * [taylor]: Taking taylor expansion of -1 in a 0.041 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.041 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.041 * [taylor]: Taking taylor expansion of a in a 0.047 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.047 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.047 * [taylor]: Taking taylor expansion of a in a 0.047 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.047 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.047 * [taylor]: Taking taylor expansion of a in a 0.047 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.056 * * * [progress]: simplifying candidates 0.056 * [simplify]: Simplifying using # : (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.060 * * [simplify]: iteration 0 : 164 enodes (cost 376 ) 0.063 * * [simplify]: iteration 1 : 491 enodes (cost 364 ) 0.070 * * [simplify]: iteration 2 : 1440 enodes (cost 359 ) 0.089 * * [simplify]: iteration 3 : 3702 enodes (cost 358 ) 0.142 * * [simplify]: iteration 4 : 5001 enodes (cost 358 ) 0.144 * [simplify]: Simplified to: (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (* -1 a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (* -1 (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (* -1 a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (* -1 a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.144 * * * [progress]: adding candidates to table 0.233 * * [progress]: iteration 2 / 4 0.233 * * * [progress]: picking best candidate 0.244 * * * * [pick]: Picked # 0.244 * * * [progress]: localizing error 0.250 * * * [progress]: generating rewritten candidates 0.250 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.260 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.278 * * * [progress]: generating series expansions 0.278 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.279 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.279 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.279 * [taylor]: Taking taylor expansion of -1 in a 0.279 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.279 * [taylor]: Taking taylor expansion of a in a 0.279 * [taylor]: Taking taylor expansion of (acos a) in a 0.279 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.279 * [taylor]: Taking taylor expansion of -1 in a 0.279 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.279 * [taylor]: Taking taylor expansion of a in a 0.279 * [taylor]: Taking taylor expansion of (acos a) in a 0.286 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.286 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.286 * [taylor]: Taking taylor expansion of -1 in a 0.286 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.286 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.286 * [taylor]: Taking taylor expansion of a in a 0.287 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.287 * [taylor]: Taking taylor expansion of -1 in a 0.287 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.287 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.287 * [taylor]: Taking taylor expansion of a in a 0.293 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.293 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.293 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.293 * [taylor]: Taking taylor expansion of a in a 0.293 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.293 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.293 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.293 * [taylor]: Taking taylor expansion of a in a 0.293 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.302 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.302 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.302 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.302 * [taylor]: Taking taylor expansion of -1 in a 0.302 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.302 * [taylor]: Taking taylor expansion of (acos a) in a 0.302 * [taylor]: Taking taylor expansion of a in a 0.302 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.302 * [taylor]: Taking taylor expansion of -1 in a 0.302 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.302 * [taylor]: Taking taylor expansion of (acos a) in a 0.302 * [taylor]: Taking taylor expansion of a in a 0.315 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.315 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.315 * [taylor]: Taking taylor expansion of -1 in a 0.315 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.315 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.315 * [taylor]: Taking taylor expansion of a in a 0.315 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.315 * [taylor]: Taking taylor expansion of -1 in a 0.315 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.315 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.315 * [taylor]: Taking taylor expansion of a in a 0.326 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.326 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.326 * [taylor]: Taking taylor expansion of a in a 0.326 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.326 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.326 * [taylor]: Taking taylor expansion of a in a 0.326 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.333 * * * [progress]: simplifying candidates 0.336 * [simplify]: Simplifying using # : (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (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 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)) (/ (- (* (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)) (/ (* (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))) (/ 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(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))) (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) 0.408 * * * [progress]: adding candidates to table 0.640 * * [progress]: iteration 3 / 4 0.640 * * * [progress]: picking best candidate 0.652 * * * * [pick]: Picked # 0.652 * * * [progress]: localizing error 0.659 * * * [progress]: generating rewritten candidates 0.659 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.668 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.678 * * * [progress]: generating series expansions 0.678 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.678 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.679 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.679 * [taylor]: Taking taylor expansion of -1 in a 0.679 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.679 * [taylor]: Taking taylor expansion of (acos a) in a 0.679 * [taylor]: Taking taylor expansion of a in a 0.679 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.679 * [taylor]: Taking taylor expansion of -1 in a 0.679 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.679 * [taylor]: Taking taylor expansion of (acos a) in a 0.679 * [taylor]: Taking taylor expansion of a in a 0.692 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.692 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.692 * [taylor]: Taking taylor expansion of -1 in a 0.692 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.692 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.692 * [taylor]: Taking taylor expansion of a in a 0.692 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.692 * [taylor]: Taking taylor expansion of -1 in a 0.692 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.692 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.692 * [taylor]: Taking taylor expansion of a in a 0.707 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.707 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.707 * [taylor]: Taking taylor expansion of a in a 0.707 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.707 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.707 * [taylor]: Taking taylor expansion of a in a 0.707 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.714 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.714 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.714 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.714 * [taylor]: Taking taylor expansion of -1 in a 0.714 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.714 * [taylor]: Taking taylor expansion of a in a 0.714 * [taylor]: Taking taylor expansion of (acos a) in a 0.714 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.714 * [taylor]: Taking taylor expansion of -1 in a 0.714 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.714 * [taylor]: Taking taylor expansion of a in a 0.714 * [taylor]: Taking taylor expansion of (acos a) in a 0.721 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.721 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.721 * [taylor]: Taking taylor expansion of -1 in a 0.721 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.721 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.721 * [taylor]: Taking taylor expansion of a in a 0.721 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.722 * [taylor]: Taking taylor expansion of -1 in a 0.722 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.722 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.722 * [taylor]: Taking taylor expansion of a in a 0.727 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.727 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.727 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.727 * [taylor]: Taking taylor expansion of a in a 0.727 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.728 * [taylor]: Taking taylor expansion of (/ 1 (* a (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 0.736 * * * [progress]: simplifying candidates 0.737 * [simplify]: Simplifying using # : (* (- (acos a)) (/ 1 a)) (+ (log (- (acos a))) (- (log a))) (+ (log (- (acos a))) (- 0 (log a))) (+ (log (- (acos a))) (- (log 1) (log a))) (+ (log (- (acos a))) (log (/ 1 a))) (log (* (- (acos a)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (- 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))) 0.742 * * [simplify]: iteration 0 : 351 enodes (cost 507 ) 0.748 * * [simplify]: iteration 1 : 1640 enodes (cost 403 ) 0.771 * * [simplify]: iteration 2 : 5001 enodes (cost 379 ) 0.774 * [simplify]: Simplified to: (/ (- (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)) -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))) 0.774 * * * [progress]: adding candidates to table 0.874 * * [progress]: iteration 4 / 4 0.874 * * * [progress]: picking best candidate 0.888 * * * * [pick]: Picked # 0.888 * * * [progress]: localizing error 0.894 * * * [progress]: generating rewritten candidates 0.894 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.904 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.911 * * * [progress]: generating series expansions 0.911 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.911 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.911 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.911 * [taylor]: Taking taylor expansion of -1 in a 0.911 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.911 * [taylor]: Taking taylor expansion of a in a 0.911 * [taylor]: Taking taylor expansion of (acos a) in a 0.911 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.911 * [taylor]: Taking taylor expansion of -1 in a 0.911 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.911 * [taylor]: Taking taylor expansion of a in a 0.911 * [taylor]: Taking taylor expansion of (acos a) in a 0.923 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.923 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.923 * [taylor]: Taking taylor expansion of -1 in a 0.923 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.923 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.923 * [taylor]: Taking taylor expansion of a in a 0.923 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.923 * [taylor]: Taking taylor expansion of -1 in a 0.923 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.923 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.923 * [taylor]: Taking taylor expansion of a in a 0.929 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.929 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.929 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.929 * [taylor]: Taking taylor expansion of a in a 0.929 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.929 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.929 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.929 * [taylor]: Taking taylor expansion of a in a 0.929 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.938 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.938 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 0.938 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 0.938 * [taylor]: Taking taylor expansion of (acos a) in a 0.938 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 0.938 * [taylor]: Taking taylor expansion of (acos a) in a 0.939 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 0.939 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 0.939 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.939 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 0.940 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.941 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 0.941 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 0.941 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.941 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 0.941 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.943 * * * [progress]: simplifying candidates 0.944 * [simplify]: Simplifying using # : (- (+ (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) (- 0 (log (acos a)))) (- (log a))) (- (+ (log -1) (- 0 (log (acos a)))) (- 0 (log a))) (- (+ (log -1) (- 0 (log (acos a)))) (- (log 1) (log a))) (- (+ (log -1) (- 0 (log (acos a)))) (log (/ 1 a))) (- (+ (log -1) (- (log 1) (log (acos a)))) (- (log a))) (- (+ (log -1) (- (log 1) (log (acos a)))) (- 0 (log a))) (- (+ (log -1) (- (log 1) (log (acos a)))) (- (log 1) (log a))) (- (+ (log -1) (- (log 1) (log (acos a)))) (log (/ 1 a))) (- (+ (log -1) (log (/ 1 (acos a)))) (- (log a))) (- (+ (log -1) (log (/ 1 (acos a)))) (- 0 (log a))) (- (+ (log -1) (log (/ 1 (acos a)))) (- (log 1) (log a))) (- (+ (log -1) (log (/ 1 (acos a)))) (log (/ 1 a))) (- (log (* -1 (/ 1 (acos a)))) (- (log a))) (- (log (* -1 (/ 1 (acos a)))) (- 0 (log a))) (- (log (* -1 (/ 1 (acos a)))) (- (log 1) (log a))) (- (log (* -1 (/ 1 (acos a)))) (log (/ 1 a))) (log (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (exp (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (/ (* (* (* -1 -1) -1) (/ (* (* 1 1) 1) (* (* (acos a) (acos a)) (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (* -1 -1) -1) (/ (* (* 1 1) 1) (* (* (acos a) (acos a)) (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (* -1 -1) -1) (* (* (/ 1 (acos a)) (/ 1 (acos a))) (/ 1 (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (* -1 -1) -1) (* (* (/ 1 (acos a)) (/ 1 (acos a))) (/ 1 (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (* -1 (/ 1 (acos a))) (* -1 (/ 1 (acos a)))) (* -1 (/ 1 (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (* -1 (/ 1 (acos a))) (* -1 (/ 1 (acos a)))) (* -1 (/ 1 (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a)))) (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (* (* (/ (* -1 (/ 1 (acos a))) (/ 1 a)) (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (sqrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (sqrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (- (* -1 (/ 1 (acos a)))) (- (/ 1 a)) (/ -1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (acos a)) (cbrt (/ 1 a))) (/ -1 (sqrt (/ 1 a))) (/ (/ 1 (acos a)) (sqrt (/ 1 a))) (/ -1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ 1 (acos a)) (/ (cbrt 1) (cbrt a))) (/ -1 (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (/ 1 (acos a)) (/ (cbrt 1) (sqrt a))) (/ -1 (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (acos a)) (/ (cbrt 1) a)) (/ -1 (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (/ 1 (acos a)) (/ (sqrt 1) (cbrt a))) (/ -1 (/ (sqrt 1) (sqrt a))) (/ (/ 1 (acos a)) (/ (sqrt 1) (sqrt a))) (/ -1 (/ (sqrt 1) 1)) (/ (/ 1 (acos a)) (/ (sqrt 1) a)) (/ -1 (/ 1 (* (cbrt a) (cbrt a)))) (/ (/ 1 (acos a)) (/ 1 (cbrt a))) (/ -1 (/ 1 (sqrt a))) (/ (/ 1 (acos a)) (/ 1 (sqrt a))) (/ -1 (/ 1 1)) (/ (/ 1 (acos a)) (/ 1 a)) (/ -1 1) (/ (/ 1 (acos a)) (/ 1 a)) (/ -1 1) (/ (/ 1 (acos a)) (/ 1 a)) (/ 1 (/ 1 a)) (/ (/ 1 a) (* -1 (/ 1 (acos a)))) (/ (/ 1 (acos a)) (/ 1 a)) (/ (* -1 (/ 1 (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (* -1 (/ 1 (acos a))) (sqrt (/ 1 a))) (/ (* -1 (/ 1 (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (* -1 (/ 1 (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (* -1 (/ 1 (acos a))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (* -1 (/ 1 (acos a))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (* -1 (/ 1 (acos a))) (/ (sqrt 1) (sqrt a))) (/ (* -1 (/ 1 (acos a))) (/ (sqrt 1) 1)) (/ (* -1 (/ 1 (acos a))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (* -1 (/ 1 (acos a))) (/ 1 (sqrt a))) (/ (* -1 (/ 1 (acos a))) (/ 1 1)) (/ (* -1 (/ 1 (acos a))) 1) (/ (* -1 (/ 1 (acos a))) 1) (/ (/ 1 a) (/ 1 (acos a))) (/ (* -1 (/ 1 (acos a))) 1) (* (/ 1 a) (acos a)) (* (/ 1 a) (acos a)) (- 1) (- (log (acos a))) (- 0 (log (acos a))) (- (log 1) (log (acos a))) (log (/ 1 (acos a))) (exp (/ 1 (acos a))) (/ (* (* 1 1) 1) (* (* (acos a) (acos a)) (acos a))) (* (cbrt (/ 1 (acos a))) (cbrt (/ 1 (acos a)))) (cbrt (/ 1 (acos a))) (* (* (/ 1 (acos a)) (/ 1 (acos a))) (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (- 1) (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt 1) (cbrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (acos a))) (/ (cbrt 1) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (acos a)) (/ (sqrt 1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt 1) (cbrt (acos a))) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) 1) (/ (sqrt 1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 1) (/ 1 (acos a)) (/ 1 (acos a)) (/ (acos a) 1) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 1) (/ (acos a) (cbrt 1)) (/ (acos a) (sqrt 1)) (/ (acos a) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) 0.950 * * [simplify]: iteration 0 : 475 enodes (cost 616 ) 0.959 * * [simplify]: iteration 1 : 2430 enodes (cost 473 ) 0.991 * * [simplify]: iteration 2 : 5001 enodes (cost 428 ) 0.994 * [simplify]: Simplified to: (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (+ (log (/ -1 (acos a))) (log a)) (pow (exp (/ -1 (acos a))) a) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (pow (* (/ -1 (acos a)) a) 3) (* (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a)))) (cbrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (pow (* (/ -1 (acos a)) a) 3) (sqrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (sqrt (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (/ 1 (acos a)) (/ -1 a) (/ -1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (acos a)) (cbrt (/ 1 a))) (/ -1 (sqrt (/ 1 a))) (/ (/ 1 (acos a)) (sqrt (/ 1 a))) (* -1 (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (* -1 (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ a (acos a)) (* -1 (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (* -1 (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ a (acos a)) (* -1 (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (* -1 (sqrt a)) (* (/ 1 (acos a)) (sqrt a)) -1 (/ a (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) a (* -1 (/ (acos a) a)) (/ a (acos a)) (/ (/ (/ -1 (acos a)) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ -1 (* (sqrt (/ 1 a)) (acos a))) (* (/ -1 (acos a)) (* (cbrt a) (cbrt a))) (* (/ -1 (acos a)) (sqrt a)) (/ -1 (acos a)) (* (/ -1 (acos a)) (* (cbrt a) (cbrt a))) (* (/ -1 (acos a)) (sqrt a)) (/ -1 (acos a)) (* (/ -1 (acos a)) (* (cbrt a) (cbrt a))) (* (/ -1 (acos a)) (sqrt a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ (acos a) a) (/ -1 (acos a)) (/ (acos a) a) (/ (acos a) a) -1 (log (/ 1 (acos a))) (log (/ 1 (acos a))) (log (/ 1 (acos a))) (log (/ 1 (acos a))) (exp (/ 1 (acos a))) (/ 1 (pow (acos a) 3)) (* (cbrt (/ 1 (acos a))) (cbrt (/ 1 (acos a)))) (cbrt (/ 1 (acos a))) (/ 1 (pow (acos a) 3)) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) -1 (- (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) 1 (/ 1 (acos a)) (/ 1 (acos a)) (acos a) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (acos a) (acos a) (acos a) (* (/ -1 (acos a)) a) (* (/ -1 (acos a)) a) (* (/ -1 (acos a)) a) (/ 1 (acos a)) (/ 1 (acos a)) (/ 1 (acos a)) 0.994 * * * [progress]: adding candidates to table 1.097 * [progress]: [Phase 3 of 3] Extracting. 1.097 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.098 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 1.098 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # #) 1.129 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 1.154 * * * [regime]: Found split indices: #