15.298 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.027 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.028 * [simplify]: Simplified to: (/ a (- (acos a))) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.039 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.039 * [taylor]: Taking taylor expansion of -1 in a 0.040 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.040 * [taylor]: Taking taylor expansion of a in a 0.040 * [taylor]: Taking taylor expansion of (acos a) in a 0.040 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.040 * [taylor]: Taking taylor expansion of -1 in a 0.040 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.040 * [taylor]: Taking taylor expansion of a in a 0.040 * [taylor]: Taking taylor expansion of (acos a) in a 0.047 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.047 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.047 * [taylor]: Taking taylor expansion of -1 in a 0.047 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.047 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.047 * [taylor]: Taking taylor expansion of a in a 0.048 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.048 * [taylor]: Taking taylor expansion of -1 in a 0.048 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.048 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.048 * [taylor]: Taking taylor expansion of a in a 0.054 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.054 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.054 * [taylor]: Taking taylor expansion of a in a 0.054 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.055 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.055 * [taylor]: Taking taylor expansion of a in a 0.055 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.064 * * * [progress]: simplifying candidates 0.065 * [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))) 0.069 * * [simplify]: iteration 0 : 164 enodes (cost 376 ) 0.073 * * [simplify]: iteration 1 : 491 enodes (cost 364 ) 0.080 * * [simplify]: iteration 2 : 1440 enodes (cost 359 ) 0.101 * * [simplify]: iteration 3 : 3702 enodes (cost 358 ) 0.158 * * [simplify]: iteration 4 : 5001 enodes (cost 358 ) 0.164 * [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))) 0.164 * * * [progress]: adding candidates to table 0.262 * * [progress]: iteration 2 / 4 0.263 * * * [progress]: picking best candidate 0.281 * * * * [pick]: Picked # 0.281 * * * [progress]: localizing error 0.286 * * * [progress]: generating rewritten candidates 0.286 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.290 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.315 * * * [progress]: generating series expansions 0.315 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.315 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.315 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.315 * [taylor]: Taking taylor expansion of -1 in a 0.315 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.315 * [taylor]: Taking taylor expansion of (acos a) in a 0.315 * [taylor]: Taking taylor expansion of a in a 0.315 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.315 * [taylor]: Taking taylor expansion of -1 in a 0.315 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.315 * [taylor]: Taking taylor expansion of (acos a) in a 0.315 * [taylor]: Taking taylor expansion of a in a 0.329 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.329 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.329 * [taylor]: Taking taylor expansion of -1 in a 0.329 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.329 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.329 * [taylor]: Taking taylor expansion of a in a 0.329 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.329 * [taylor]: Taking taylor expansion of -1 in a 0.329 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.329 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.329 * [taylor]: Taking taylor expansion of a in a 0.341 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.341 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.341 * [taylor]: Taking taylor expansion of a in a 0.341 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.341 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.341 * [taylor]: Taking taylor expansion of a in a 0.341 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.348 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.348 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.348 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.348 * [taylor]: Taking taylor expansion of -1 in a 0.348 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.348 * [taylor]: Taking taylor expansion of a in a 0.348 * [taylor]: Taking taylor expansion of (acos a) in a 0.349 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.349 * [taylor]: Taking taylor expansion of -1 in a 0.349 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.349 * [taylor]: Taking taylor expansion of a in a 0.349 * [taylor]: Taking taylor expansion of (acos a) in a 0.356 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.356 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.356 * [taylor]: Taking taylor expansion of -1 in a 0.356 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.356 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.356 * [taylor]: Taking taylor expansion of a in a 0.356 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.356 * [taylor]: Taking taylor expansion of -1 in a 0.356 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.357 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.357 * [taylor]: Taking taylor expansion of a in a 0.363 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.363 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.363 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.363 * [taylor]: Taking taylor expansion of a in a 0.363 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.364 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.364 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.364 * [taylor]: Taking taylor expansion of a in a 0.364 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.373 * * * [progress]: simplifying candidates 0.380 * [simplify]: Simplifying using # : (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ 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(acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (* -1 (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* 1 (cbrt a)) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (* 1 (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (* -1 (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (* -1 (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* 1 (cbrt a)) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (* 1 (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (* -1 (/ (cbrt a) (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 0.447 * * * [progress]: adding candidates to table 0.712 * * [progress]: iteration 3 / 4 0.712 * * * [progress]: picking best candidate 0.728 * * * * [pick]: Picked # 0.728 * * * [progress]: localizing error 0.736 * * * [progress]: generating rewritten candidates 0.736 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.741 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.762 * * * [progress]: generating series expansions 0.762 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.762 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.762 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.762 * [taylor]: Taking taylor expansion of -1 in a 0.762 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.762 * [taylor]: Taking taylor expansion of (acos a) in a 0.762 * [taylor]: Taking taylor expansion of a in a 0.762 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.762 * [taylor]: Taking taylor expansion of -1 in a 0.762 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.762 * [taylor]: Taking taylor expansion of (acos a) in a 0.762 * [taylor]: Taking taylor expansion of a in a 0.776 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.776 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.776 * [taylor]: Taking taylor expansion of -1 in a 0.776 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.776 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.776 * [taylor]: Taking taylor expansion of a in a 0.776 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.776 * [taylor]: Taking taylor expansion of -1 in a 0.776 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.776 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.776 * [taylor]: Taking taylor expansion of a in a 0.788 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.788 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.788 * [taylor]: Taking taylor expansion of a in a 0.788 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.788 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.788 * [taylor]: Taking taylor expansion of a in a 0.788 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.795 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.796 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.796 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.796 * [taylor]: Taking taylor expansion of -1 in a 0.796 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.796 * [taylor]: Taking taylor expansion of a in a 0.796 * [taylor]: Taking taylor expansion of (acos a) in a 0.796 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.796 * [taylor]: Taking taylor expansion of -1 in a 0.796 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.796 * [taylor]: Taking taylor expansion of a in a 0.796 * [taylor]: Taking taylor expansion of (acos a) in a 0.804 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.804 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.804 * [taylor]: Taking taylor expansion of -1 in a 0.804 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.804 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.804 * [taylor]: Taking taylor expansion of a in a 0.804 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.804 * [taylor]: Taking taylor expansion of -1 in a 0.804 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.804 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.805 * [taylor]: Taking taylor expansion of a in a 0.811 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.811 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.811 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.811 * [taylor]: Taking taylor expansion of a in a 0.811 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.812 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.812 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.812 * [taylor]: Taking taylor expansion of a in a 0.812 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.820 * * * [progress]: simplifying candidates 0.822 * [simplify]: Simplifying using # : (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (- (+ (log (cbrt 1)) (log (cbrt 1))) (- (log (- (acos a))) (log a))) (- (+ (log (cbrt 1)) (log (cbrt 1))) (log (/ (- (acos a)) a))) (- (log (* (cbrt 1) (cbrt 1))) (- (log (- (acos a))) (log a))) (- (log (* (cbrt 1) (cbrt 1))) (log (/ (- (acos a)) a))) (log (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (exp (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (/ (* 1 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* 1 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (/ (* (* (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))) (* (cbrt 1) (cbrt 1))) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))) (* (cbrt 1) (cbrt 1))) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (* (* (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (- (* (cbrt 1) (cbrt 1))) (- (/ (- (acos a)) a)) (/ (cbrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (cbrt 1) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (cbrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt 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a)) a)) (/ (/ (- (acos a)) a) (* (cbrt 1) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) 1)) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) 1)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.830 * * [simplify]: iteration 0 : 523 enodes (cost 1285 ) 0.841 * * [simplify]: iteration 1 : 2715 enodes (cost 1217 ) 0.881 * * [simplify]: iteration 2 : 5002 enodes (cost 1001 ) 0.886 * [simplify]: Simplified to: (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (pow (* -1 (/ (acos a) a)) 3) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (pow (* -1 (/ (acos a) a)) 3) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (* -1 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 (- 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(/ (- (acos a)) a))) (log (/ (cbrt 1) (/ (- (acos a)) a))) (exp (/ (cbrt 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) (* (cbrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (pow (/ -1 (/ (acos a) a)) 3) (sqrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) 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))))) 1) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (* (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) 1) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (cbrt (- (acos a))) a)) (* (/ (* 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1))) (/ 1 (/ (acos a) (cbrt a))) (* 1 (/ (sqrt a) (- 1))) (* (/ (sqrt a) (acos a)) 1) (/ 1 (- 1)) (* (/ a (acos a)) 1) (* (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (* (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (cbrt (acos a))) a)) (* (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) 1) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (* (/ (sqrt a) (sqrt (acos a))) 1) (* (/ (sqrt a) (- (sqrt (acos a)))) 1) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* 1 (* (cbrt a) (cbrt a))) (/ 1 (/ (- (acos a)) (cbrt a))) (* 1 (sqrt a)) (* (/ (sqrt a) (- (acos a))) 1) 1 (/ -1 (/ (acos a) a)) 1 (/ -1 (/ (acos a) a)) (* -1 (/ 1 (acos a))) (* 1 a) (/ -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (* (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) 1) (* (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) 1) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (* (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) 1) (* (/ (sqrt a) (sqrt (- (acos a)))) 1) (/ 1 (sqrt (- (acos a)))) (* 1 (* (cbrt a) (cbrt a))) (* 1 (sqrt a)) 1 (* (/ (* (cbrt a) (cbrt a)) -1) 1) (* (/ (sqrt a) -1) 1) -1 (* (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) 1) (* (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) 1) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (* (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) 1) (* (/ (sqrt a) (- (sqrt (acos a)))) 1) (/ 1 (- (sqrt (acos a)))) (* 1 (/ (* (cbrt a) (cbrt a)) (- 1))) (* 1 (/ (sqrt a) (- 1))) (/ 1 (- 1)) (* (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) 1) (* (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) 1) (* (/ (sqrt a) (sqrt (acos a))) 1) (/ 1 (sqrt (acos a))) (* 1 (* (cbrt a) (cbrt a))) (* 1 (sqrt a)) 1 1 (* -1 (/ 1 (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ 1 (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (/ -1 (/ (acos a) a)) (/ -1 (/ (acos a) a)) (/ -1 (/ (acos a) a)) 0.887 * * * [progress]: adding candidates to table 1.218 * * [progress]: iteration 4 / 4 1.218 * * * [progress]: picking best candidate 1.233 * * * * [pick]: Picked # 1.233 * * * [progress]: localizing error 1.240 * * * [progress]: generating rewritten candidates 1.240 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.249 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 1.255 * * * [progress]: generating series expansions 1.255 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.256 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.256 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.256 * [taylor]: Taking taylor expansion of -1 in a 1.256 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.256 * [taylor]: Taking taylor expansion of a in a 1.256 * [taylor]: Taking taylor expansion of (acos a) in a 1.256 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.256 * [taylor]: Taking taylor expansion of -1 in a 1.256 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.256 * [taylor]: Taking taylor expansion of a in a 1.256 * [taylor]: Taking taylor expansion of (acos a) in a 1.263 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.263 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.263 * [taylor]: Taking taylor expansion of -1 in a 1.263 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.263 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.263 * [taylor]: Taking taylor expansion of a in a 1.264 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.264 * [taylor]: Taking taylor expansion of -1 in a 1.264 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.264 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.264 * [taylor]: Taking taylor expansion of a in a 1.270 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.270 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.270 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.270 * [taylor]: Taking taylor expansion of a in a 1.270 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.271 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.271 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.271 * [taylor]: Taking taylor expansion of a in a 1.271 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.280 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 1.280 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 1.280 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 1.280 * [taylor]: Taking taylor expansion of (acos a) in a 1.280 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 1.280 * [taylor]: Taking taylor expansion of (acos a) in a 1.281 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 1.281 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 1.281 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.281 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 1.281 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.283 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 1.283 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 1.283 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.283 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 1.283 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.285 * * * [progress]: simplifying candidates 1.286 * [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)) 1.292 * * [simplify]: iteration 0 : 475 enodes (cost 616 ) 1.303 * * [simplify]: iteration 1 : 2430 enodes (cost 473 ) 1.337 * * [simplify]: iteration 2 : 5001 enodes (cost 428 ) 1.345 * [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)) 1.345 * * * [progress]: adding candidates to table 1.458 * [progress]: [Phase 3 of 3] Extracting. 1.458 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.459 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 1.459 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # #) 1.491 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 1.519 * * * [regime]: Found split indices: #