18.085 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.028 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.029 * [simplify]: Simplified to: (/ a (- (acos a))) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.042 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.042 * [taylor]: Taking taylor expansion of -1 in a 0.042 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.042 * [taylor]: Taking taylor expansion of a in a 0.042 * [taylor]: Taking taylor expansion of (acos a) in a 0.042 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.042 * [taylor]: Taking taylor expansion of -1 in a 0.042 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.042 * [taylor]: Taking taylor expansion of a in a 0.042 * [taylor]: Taking taylor expansion of (acos a) in a 0.047 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 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 0.048 * [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 0.050 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.050 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.050 * [taylor]: Taking taylor expansion of a in a 0.050 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.051 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.051 * [taylor]: Taking taylor expansion of a in a 0.051 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.053 * * * [progress]: simplifying candidates 0.054 * [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 : 166 enodes (cost 384 ) 0.062 * * [simplify]: iteration 1 : 493 enodes (cost 372 ) 0.070 * * [simplify]: iteration 2 : 1442 enodes (cost 367 ) 0.090 * * [simplify]: iteration 3 : 3704 enodes (cost 366 ) 0.145 * * [simplify]: iteration 4 : 5002 enodes (cost 366 ) 0.147 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (* -1 a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (* -1 (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (* -1 a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (* -1 a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.147 * * * [progress]: adding candidates to table 0.368 * * [progress]: iteration 2 / 4 0.368 * * * [progress]: picking best candidate 0.400 * * * * [pick]: Picked # 0.400 * * * [progress]: localizing error 0.405 * * * [progress]: generating rewritten candidates 0.405 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.411 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.432 * * * [progress]: generating series expansions 0.433 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.433 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.433 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.433 * [taylor]: Taking taylor expansion of -1 in a 0.433 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.433 * [taylor]: Taking taylor expansion of (acos a) in a 0.433 * [taylor]: Taking taylor expansion of a in a 0.433 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.433 * [taylor]: Taking taylor expansion of -1 in a 0.433 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.433 * [taylor]: Taking taylor expansion of (acos a) in a 0.433 * [taylor]: Taking taylor expansion of a in a 0.434 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.434 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.434 * [taylor]: Taking taylor expansion of -1 in a 0.434 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.434 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.434 * [taylor]: Taking taylor expansion of a in a 0.434 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.434 * [taylor]: Taking taylor expansion of -1 in a 0.434 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.434 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.435 * [taylor]: Taking taylor expansion of a in a 0.436 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.436 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.436 * [taylor]: Taking taylor expansion of a in a 0.436 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.436 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.436 * [taylor]: Taking taylor expansion of a in a 0.436 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.437 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.437 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.437 * [taylor]: Taking taylor expansion of -1 in a 0.437 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.437 * [taylor]: Taking taylor expansion of a in a 0.437 * [taylor]: Taking taylor expansion of (acos a) in a 0.438 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.438 * [taylor]: Taking taylor expansion of -1 in a 0.438 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.438 * [taylor]: Taking taylor expansion of a in a 0.438 * [taylor]: Taking taylor expansion of (acos a) in a 0.440 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.440 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.440 * [taylor]: Taking taylor expansion of -1 in a 0.440 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.440 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.440 * [taylor]: Taking taylor expansion of a in a 0.440 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.440 * [taylor]: Taking taylor expansion of -1 in a 0.440 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.440 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.440 * [taylor]: Taking taylor expansion of a in a 0.442 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.442 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.442 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.442 * [taylor]: Taking taylor expansion of a in a 0.442 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.443 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.443 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.443 * [taylor]: Taking taylor expansion of a in a 0.443 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.445 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying using # : (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) 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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))) 0.518 * * * [progress]: adding candidates to table 1.142 * * [progress]: iteration 3 / 4 1.142 * * * [progress]: picking best candidate 1.181 * * * * [pick]: Picked # 1.181 * * * [progress]: localizing error 1.188 * * * [progress]: generating rewritten candidates 1.188 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.212 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.265 * * * [progress]: generating series expansions 1.265 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.265 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.265 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.265 * [taylor]: Taking taylor expansion of -1 in a 1.265 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.265 * [taylor]: Taking taylor expansion of a in a 1.265 * [taylor]: Taking taylor expansion of (acos a) in a 1.265 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.265 * [taylor]: Taking taylor expansion of -1 in a 1.265 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.265 * [taylor]: Taking taylor expansion of a in a 1.265 * [taylor]: Taking taylor expansion of (acos a) in a 1.267 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.268 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.268 * [taylor]: Taking taylor expansion of -1 in a 1.268 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.268 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.268 * [taylor]: Taking taylor expansion of a in a 1.268 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.268 * [taylor]: Taking taylor expansion of -1 in a 1.268 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.268 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.268 * [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 1.273 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.273 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 1.273 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.273 * [taylor]: Taking taylor expansion of -1 in a 1.273 * [taylor]: Taking taylor expansion of (acos a) in a 1.273 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 1.273 * [taylor]: Taking taylor expansion of -1 in a 1.273 * [taylor]: Taking taylor expansion of (acos a) in a 1.274 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 1.274 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.275 * [taylor]: Taking taylor expansion of -1 in a 1.275 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.275 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 1.275 * [taylor]: Taking taylor expansion of -1 in a 1.275 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.276 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 1.276 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.276 * [taylor]: Taking taylor expansion of -1 in a 1.276 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.277 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 1.277 * [taylor]: Taking taylor expansion of -1 in a 1.277 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.278 * * * [progress]: simplifying candidates 1.288 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (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))) (- (- 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))) (- (- (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 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 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(acos a))) (/ (cbrt 1) (- (sqrt (acos a)))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 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 (/ 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 (/ 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 -1 (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (/ (- (acos a)) (cbrt 1)) (- (acos a)) (- (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 1.393 * * * [progress]: adding candidates to table 3.015 * * [progress]: iteration 4 / 4 3.015 * * * [progress]: picking best candidate 3.037 * * * * [pick]: Picked # 3.037 * * * [progress]: localizing error 3.047 * * * [progress]: generating rewritten candidates 3.047 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 3.050 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.056 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 3.057 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 3.063 * * * [progress]: generating series expansions 3.063 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 3.063 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (acos a))) in (a) around 0 3.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos a))) in a 3.063 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 3.063 * [taylor]: Taking taylor expansion of (acos a) in a 3.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos a))) in a 3.063 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 3.063 * [taylor]: Taking taylor expansion of (acos a) in a 3.065 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (acos (/ 1 a)))) in (a) around 0 3.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ 1 a)))) in a 3.065 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 3.065 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ 1 a)))) in a 3.065 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 3.065 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.068 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (acos (/ -1 a)))) in (a) around 0 3.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ -1 a)))) in a 3.068 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 3.068 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ -1 a)))) in a 3.068 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 3.068 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.070 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.070 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (acos a)))) in (a) around 0 3.070 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (acos a)))) in a 3.070 * [taylor]: Taking taylor expansion of -1 in a 3.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos a))) in a 3.070 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 3.070 * [taylor]: Taking taylor expansion of (acos a) in a 3.070 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (acos a)))) in a 3.071 * [taylor]: Taking taylor expansion of -1 in a 3.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos a))) in a 3.071 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 3.071 * [taylor]: Taking taylor expansion of (acos a) in a 3.073 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (acos (/ 1 a))))) in (a) around 0 3.073 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (acos (/ 1 a))))) in a 3.073 * [taylor]: Taking taylor expansion of -1 in a 3.073 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ 1 a)))) in a 3.073 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 3.073 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.073 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (acos (/ 1 a))))) in a 3.073 * [taylor]: Taking taylor expansion of -1 in a 3.073 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ 1 a)))) in a 3.073 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 3.073 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.076 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (acos (/ -1 a))))) in (a) around 0 3.076 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (acos (/ -1 a))))) in a 3.076 * [taylor]: Taking taylor expansion of -1 in a 3.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ -1 a)))) in a 3.076 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 3.076 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.076 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (acos (/ -1 a))))) in a 3.077 * [taylor]: Taking taylor expansion of -1 in a 3.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ -1 a)))) in a 3.077 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 3.077 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.079 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 3.079 * [approximate]: Taking taylor expansion of (sqrt (acos a)) in (a) around 0 3.079 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 3.079 * [taylor]: Taking taylor expansion of (acos a) in a 3.080 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 3.080 * [taylor]: Taking taylor expansion of (acos a) in a 3.080 * [approximate]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in (a) around 0 3.080 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 3.080 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.080 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 3.080 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.081 * [approximate]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in (a) around 0 3.081 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 3.081 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.081 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 3.081 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.082 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 3.082 * [approximate]: Taking taylor expansion of (sqrt (acos a)) in (a) around 0 3.082 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 3.082 * [taylor]: Taking taylor expansion of (acos a) in a 3.082 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 3.082 * [taylor]: Taking taylor expansion of (acos a) in a 3.083 * [approximate]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in (a) around 0 3.083 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 3.083 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.083 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 3.083 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.084 * [approximate]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in (a) around 0 3.084 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 3.084 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.084 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 3.084 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.084 * * * [progress]: simplifying candidates 3.087 * [simplify]: Simplifying using # : (expm1 (/ 1 (sqrt (acos a)))) (log1p (/ 1 (sqrt (acos a)))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt (acos a)))) (- 0 (log (sqrt (acos a)))) (- (log 1) (log (sqrt (acos a)))) (log (/ 1 (sqrt (acos a)))) (exp (/ 1 (sqrt (acos a)))) (/ (* (* 1 1) 1) (* (* (sqrt (acos a)) (sqrt (acos a))) (sqrt (acos a)))) (* (cbrt (/ 1 (sqrt (acos a)))) (cbrt (/ 1 (sqrt (acos a))))) (cbrt (/ 1 (sqrt (acos a)))) (* (* (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a)))) (/ 1 (sqrt (acos a)))) (sqrt (/ 1 (sqrt (acos a)))) (sqrt (/ 1 (sqrt (acos a)))) (- 1) (- (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ (cbrt 1) (cbrt (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt 1) (sqrt (cbrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (acos a)))) (/ (cbrt 1) (sqrt (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (acos a)))) (/ (cbrt 1) (sqrt (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt (acos a))) (/ (sqrt 1) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ (sqrt 1) (cbrt (sqrt (acos a)))) (/ (sqrt 1) (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt 1) (sqrt (cbrt (acos a)))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 1) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) (/ (sqrt (acos a)) 1) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 1) (/ (sqrt (acos a)) (cbrt 1)) (/ (sqrt (acos a)) (sqrt 1)) (/ (sqrt (acos a)) 1) (expm1 (/ 1 (- (sqrt (acos a))))) (log1p (/ 1 (- (sqrt (acos a))))) (- 1) (- (log (- (sqrt (acos a))))) (- 0 (log (- (sqrt (acos a))))) (- (log 1) (log (- (sqrt (acos a))))) (log (/ 1 (- (sqrt (acos a))))) (exp (/ 1 (- (sqrt (acos a))))) (/ (* (* 1 1) 1) (* (* (- (sqrt (acos a))) (- (sqrt (acos a)))) (- (sqrt (acos a))))) (* (cbrt (/ 1 (- (sqrt (acos a))))) (cbrt (/ 1 (- (sqrt (acos a)))))) (cbrt (/ 1 (- (sqrt (acos a))))) (* (* (/ 1 (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a))))) (/ 1 (- (sqrt (acos a))))) (sqrt (/ 1 (- (sqrt (acos a))))) (sqrt (/ 1 (- (sqrt (acos a))))) (- 1) (- (- (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a)))))) (/ (cbrt 1) (cbrt (- (sqrt (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (sqrt (acos a))))) (/ (cbrt 1) (sqrt (- (sqrt (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))))) (/ (cbrt 1) (cbrt (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (* (cbrt (acos a)) (cbrt (acos a)))))) (/ (cbrt 1) (sqrt (cbrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (sqrt (acos a))))) (/ (cbrt 1) (sqrt (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt 1))) (/ (cbrt 1) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (sqrt (acos a))))) (/ (cbrt 1) (sqrt (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (cbrt 1) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ (cbrt 1) (- (cbrt (sqrt (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt 1) (- (sqrt (cbrt (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (acos a)))) (/ (cbrt 1) (- (sqrt (sqrt (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (- (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (acos a)))) (/ (cbrt 1) (- (sqrt (sqrt (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (sqrt (acos a)))) (/ (sqrt 1) (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a)))))) (/ (sqrt 1) (cbrt (- (sqrt (acos a))))) (/ (sqrt 1) (sqrt (- (sqrt (acos a))))) (/ (sqrt 1) (sqrt (- (sqrt (acos a))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (sqrt (acos a)))) (/ (sqrt 1) -1) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))))) (/ (sqrt 1) (cbrt (sqrt (acos a)))) (/ (sqrt 1) (- (sqrt (* (cbrt (acos a)) (cbrt (acos a)))))) (/ (sqrt 1) (sqrt (cbrt (acos a)))) (/ (sqrt 1) (- (sqrt (sqrt (acos a))))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (- (sqrt 1))) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (- (sqrt (sqrt (acos a))))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (- 1)) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ (sqrt 1) (- (cbrt (sqrt (acos a))))) (/ (sqrt 1) (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt 1) (- (sqrt (cbrt (acos a))))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (- (sqrt (sqrt (acos a))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (- (sqrt (acos a)))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (- (sqrt (sqrt (acos a))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (sqrt (acos a)))) (/ 1 (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a)))))) (/ 1 (cbrt (- (sqrt (acos a))))) (/ 1 (sqrt (- (sqrt (acos a))))) (/ 1 (sqrt (- (sqrt (acos a))))) (/ 1 1) (/ 1 (- (sqrt (acos a)))) (/ 1 -1) (/ 1 (sqrt (acos a))) (/ 1 (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (- (sqrt (* (cbrt (acos a)) (cbrt (acos a)))))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- (sqrt 1))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- 1)) (/ 1 (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (- (cbrt (sqrt (acos a))))) (/ 1 (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (cbrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (sqrt 1)) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 1) (/ 1 (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (/ (- (sqrt (acos a))) 1) (/ 1 (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a)))))) (/ 1 (sqrt (- (sqrt (acos a))))) (/ 1 1) (/ 1 -1) (/ 1 (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))))) (/ 1 (- (sqrt (* (cbrt (acos a)) (cbrt (acos a)))))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (- (sqrt 1))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (- 1)) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 1) (/ (- (sqrt (acos a))) (cbrt 1)) (/ (- (sqrt (acos a))) (sqrt 1)) (/ (- (sqrt (acos a))) 1) (expm1 (sqrt (acos a))) (log1p (sqrt (acos a))) (log (sqrt (acos a))) (exp (sqrt (acos a))) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) (cbrt (sqrt (acos a))) (* (* (sqrt (acos a)) (sqrt (acos a))) (sqrt (acos a))) (sqrt (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt (cbrt (acos a))) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (sqrt 1) (sqrt (acos a)) (/ 1 2) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (expm1 (sqrt (acos a))) (log1p (sqrt (acos a))) (log (sqrt (acos a))) (exp (sqrt (acos a))) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) (cbrt (sqrt (acos a))) (* (* (sqrt (acos a)) (sqrt (acos a))) (sqrt (acos a))) (sqrt (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt (cbrt (acos a))) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (sqrt 1) (sqrt (acos a)) (/ 1 2) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (* -1 (sqrt (/ 1 (acos a)))) (* -1 (sqrt (/ 1 (acos a)))) (* -1 (sqrt (/ 1 (acos a)))) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) 3.093 * * [simplify]: iteration 0 : 229 enodes (cost 1096 ) 3.098 * * [simplify]: iteration 1 : 764 enodes (cost 999 ) 3.107 * * [simplify]: iteration 2 : 1586 enodes (cost 866 ) 3.121 * * [simplify]: iteration 3 : 2862 enodes (cost 866 ) 3.146 * * [simplify]: iteration 4 : 5002 enodes (cost 866 ) 3.151 * [simplify]: Simplified to: (expm1 (/ 1 (sqrt (acos a)))) (log1p (/ 1 (sqrt (acos a)))) -1/2 -1 -1/2 (log (/ 1 (sqrt (acos a)))) (log (/ 1 (sqrt (acos a)))) (log (/ 1 (sqrt (acos a)))) (log (/ 1 (sqrt (acos a)))) (exp (/ 1 (sqrt (acos a)))) (/ 1 (pow (sqrt (acos a)) 3)) (* (cbrt (/ 1 (sqrt (acos a)))) (cbrt (/ 1 (sqrt (acos a))))) (cbrt (/ 1 (sqrt (acos a)))) (/ 1 (pow (sqrt (acos a)) 3)) (sqrt (/ 1 (sqrt (acos a)))) (sqrt (/ 1 (sqrt (acos a)))) -1 (- (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) (sqrt (acos a)) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (sqrt (acos a)))) 1 (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (expm1 (/ 1 (- (sqrt (acos a))))) (log1p (/ 1 (- (sqrt (acos a))))) -1 (log (/ 1 (- (sqrt (acos a))))) (log (/ 1 (- (sqrt (acos a))))) (log (/ 1 (- (sqrt (acos a))))) (log (/ 1 (- (sqrt (acos a))))) (exp (/ 1 (- (sqrt (acos a))))) (/ 1 (pow (- (sqrt (acos a))) 3)) (* (cbrt (/ 1 (- (sqrt (acos a))))) (cbrt (/ 1 (- (sqrt (acos a)))))) (cbrt (/ 1 (- (sqrt (acos a))))) (/ 1 (pow (- (sqrt (acos a))) 3)) (sqrt (/ 1 (- (sqrt (acos a))))) (sqrt (/ 1 (- (sqrt (acos a))))) -1 (sqrt (acos a)) (/ 1 (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a)))))) (/ 1 (cbrt (- (sqrt (acos a))))) (/ 1 (sqrt (- (sqrt (acos a))))) (/ 1 (sqrt (- (sqrt (acos a))))) 1 (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (sqrt (acos a))) (/ 1 (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (- (fabs (cbrt (acos a))))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) -1 (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) -1 (/ 1 (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (- (cbrt (sqrt (acos a))))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (- (sqrt (cbrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) 1 (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) 1 (/ 1 (- (sqrt (acos a)))) (/ 1 (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a)))))) (/ 1 (cbrt (- (sqrt (acos a))))) (/ 1 (sqrt (- (sqrt (acos a))))) (/ 1 (sqrt (- (sqrt (acos a))))) 1 (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (sqrt (acos a))) (/ 1 (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (- (fabs (cbrt (acos a))))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) -1 (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) -1 (/ 1 (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (- (cbrt (sqrt (acos a))))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (- (sqrt (cbrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) 1 (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) 1 (/ 1 (- (sqrt (acos a)))) (/ 1 (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a)))))) (/ 1 (cbrt (- (sqrt (acos a))))) (/ 1 (sqrt (- (sqrt (acos a))))) (/ 1 (sqrt (- (sqrt (acos a))))) 1 (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (sqrt (acos a))) (/ 1 (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (- (fabs (cbrt (acos a))))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) -1 (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (sqrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) -1 (/ 1 (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (- (cbrt (sqrt (acos a))))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (- (sqrt (cbrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) 1 (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (- (sqrt (sqrt (acos a))))) 1 (/ 1 (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (sqrt (acos a))) (/ 1 (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a)))))) (/ 1 (sqrt (- (sqrt (acos a))))) 1 -1 (/ 1 (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))))) (/ 1 (- (fabs (cbrt (acos a))))) (/ 1 (- (sqrt (sqrt (acos a))))) -1 (/ 1 (- (sqrt (sqrt (acos a))))) -1 (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (sqrt (acos a)))) 1 (- (sqrt (acos a))) (- (sqrt (acos a))) (- (sqrt (acos a))) (expm1 (sqrt (acos a))) (log1p (sqrt (acos a))) (log (sqrt (acos a))) (exp (sqrt (acos a))) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) (cbrt (sqrt (acos a))) (pow (sqrt (acos a)) 3) (fabs (cbrt (acos a))) (sqrt (cbrt (acos a))) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) 1 (sqrt (acos a)) 1/2 (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (expm1 (sqrt (acos a))) (log1p (sqrt (acos a))) (log (sqrt (acos a))) (exp (sqrt (acos a))) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) (cbrt (sqrt (acos a))) (pow (sqrt (acos a)) 3) (fabs (cbrt (acos a))) (sqrt (cbrt (acos a))) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) 1 (sqrt (acos a)) 1/2 (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (* -1 (sqrt (/ 1 (acos a)))) (* -1 (sqrt (/ 1 (acos a)))) (* -1 (sqrt (/ 1 (acos a)))) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) 3.152 * * * [progress]: adding candidates to table 3.739 * [progress]: [Phase 3 of 3] Extracting. 3.739 * * [regime]: Finding splitpoints for: (# # # # # #) 3.740 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 3.740 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # #) 3.809 * * * * [regimes]: Trying to branch on a from (# # # # # #) 3.859 * * * [regime]: Found split indices: #