24.392 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ a (- (acos a))) 0.021 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (/ a (- (acos a))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.035 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.035 * [taylor]: Taking taylor expansion of -1 in a 0.035 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.035 * [taylor]: Taking taylor expansion of a in a 0.035 * [taylor]: Taking taylor expansion of (acos a) in a 0.035 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.035 * [taylor]: Taking taylor expansion of -1 in a 0.035 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.035 * [taylor]: Taking taylor expansion of a in a 0.035 * [taylor]: Taking taylor expansion of (acos a) in a 0.042 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.042 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.042 * [taylor]: Taking taylor expansion of -1 in a 0.042 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.042 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.042 * [taylor]: Taking taylor expansion of a in a 0.043 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.043 * [taylor]: Taking taylor expansion of -1 in a 0.043 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.043 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.043 * [taylor]: Taking taylor expansion of a in a 0.049 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.049 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.049 * [taylor]: Taking taylor expansion of a in a 0.049 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.050 * [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 0.063 * * * [progress]: simplifying candidates 0.064 * [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))) 0.068 * * [simplify]: iteration 0 : 166 enodes (cost 384 ) 0.072 * * [simplify]: iteration 1 : 493 enodes (cost 372 ) 0.080 * * [simplify]: iteration 2 : 1442 enodes (cost 367 ) 0.101 * * [simplify]: iteration 3 : 3704 enodes (cost 366 ) 0.156 * * [simplify]: iteration 4 : 5002 enodes (cost 366 ) 0.159 * [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))) 0.159 * * * [progress]: adding candidates to table 0.265 * * [progress]: iteration 2 / 4 0.265 * * * [progress]: picking best candidate 0.284 * * * * [pick]: Picked # 0.284 * * * [progress]: localizing error 0.290 * * * [progress]: generating rewritten candidates 0.290 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.295 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.318 * * * [progress]: generating series expansions 0.318 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.318 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.318 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.318 * [taylor]: Taking taylor expansion of -1 in a 0.318 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.318 * [taylor]: Taking taylor expansion of (acos a) in a 0.318 * [taylor]: Taking taylor expansion of a in a 0.318 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.318 * [taylor]: Taking taylor expansion of -1 in a 0.318 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.318 * [taylor]: Taking taylor expansion of (acos a) in a 0.318 * [taylor]: Taking taylor expansion of a in a 0.331 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.332 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.332 * [taylor]: Taking taylor expansion of -1 in a 0.332 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.332 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.332 * [taylor]: Taking taylor expansion of a in a 0.332 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.332 * [taylor]: Taking taylor expansion of -1 in a 0.332 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.332 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.332 * [taylor]: Taking taylor expansion of a in a 0.343 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 0.343 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.343 * [taylor]: Taking taylor expansion of a in a 0.343 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.343 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.343 * [taylor]: Taking taylor expansion of a in a 0.343 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.351 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.351 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.351 * [taylor]: Taking taylor expansion of -1 in a 0.351 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.351 * [taylor]: Taking taylor expansion of a in a 0.351 * [taylor]: Taking taylor expansion of (acos a) in a 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.351 * [taylor]: Taking taylor expansion of -1 in a 0.351 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.351 * [taylor]: Taking taylor expansion of a in a 0.351 * [taylor]: Taking taylor expansion of (acos a) in a 0.364 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.364 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.364 * [taylor]: Taking taylor expansion of -1 in a 0.364 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.364 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.364 * [taylor]: Taking taylor expansion of a in a 0.365 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.365 * [taylor]: Taking taylor expansion of -1 in a 0.365 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.365 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.365 * [taylor]: Taking taylor expansion of a in a 0.371 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.371 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.371 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.371 * [taylor]: Taking taylor expansion of a in a 0.371 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.372 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.372 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.372 * [taylor]: Taking taylor expansion of a in a 0.372 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.381 * * * [progress]: simplifying candidates 0.384 * [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) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (- (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (sqrt 1) (cbrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (sqrt 1) (/ (cbrt (- (acos a))) a)) (/ (sqrt 1) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) 1)) (/ (sqrt 1) (/ (sqrt (- (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (/ -1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ -1 (sqrt a))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (/ -1 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) 1)) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ (- 1) (sqrt a))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (/ (- 1) 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (- (cbrt (acos a))) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (- (sqrt (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ (sqrt (- (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.395 * * [simplify]: iteration 0 : 663 enodes (cost 1934 ) 0.408 * * [simplify]: iteration 1 : 3064 enodes (cost 1717 ) 0.445 * * [simplify]: iteration 2 : 5001 enodes (cost 1525 ) 0.454 * [simplify]: Simplified to: (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (pow (/ (- (acos a)) a) 3) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (sqrt (acos a)) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) -1 (log (/ 1 (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (pow (exp -1) (/ a (acos a))) (* -1 (pow (/ a (acos a)) 3)) (* -1 (pow (/ a (acos a)) 3)) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* -1 (pow (/ a (acos a)) 3)) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 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 (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 (* (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 (/ (/ 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 (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 (* (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 (/ (/ 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 (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 (* (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))) 0.456 * * * [progress]: adding candidates to table 0.735 * * [progress]: iteration 3 / 4 0.736 * * * [progress]: picking best candidate 0.751 * * * * [pick]: Picked # 0.751 * * * [progress]: localizing error 0.758 * * * [progress]: generating rewritten candidates 0.759 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.767 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.786 * * * [progress]: generating series expansions 0.786 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.786 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 0.786 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.786 * [taylor]: Taking taylor expansion of -1 in a 0.786 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.786 * [taylor]: Taking taylor expansion of (acos a) in a 0.786 * [taylor]: Taking taylor expansion of a in a 0.786 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 0.786 * [taylor]: Taking taylor expansion of -1 in a 0.786 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 0.786 * [taylor]: Taking taylor expansion of (acos a) in a 0.787 * [taylor]: Taking taylor expansion of a in a 0.800 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.800 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.800 * [taylor]: Taking taylor expansion of -1 in a 0.800 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.800 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.800 * [taylor]: Taking taylor expansion of a in a 0.800 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 0.800 * [taylor]: Taking taylor expansion of -1 in a 0.800 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.800 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.800 * [taylor]: Taking taylor expansion of a in a 0.812 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 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 0.812 * [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 0.819 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.820 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.820 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.820 * [taylor]: Taking taylor expansion of -1 in a 0.820 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.820 * [taylor]: Taking taylor expansion of a in a 0.820 * [taylor]: Taking taylor expansion of (acos a) in a 0.820 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.820 * [taylor]: Taking taylor expansion of -1 in a 0.820 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.820 * [taylor]: Taking taylor expansion of a in a 0.820 * [taylor]: Taking taylor expansion of (acos a) in a 0.827 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.828 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.828 * [taylor]: Taking taylor expansion of -1 in a 0.828 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.828 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.828 * [taylor]: Taking taylor expansion of a in a 0.828 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.828 * [taylor]: Taking taylor expansion of -1 in a 0.828 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.828 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.828 * [taylor]: Taking taylor expansion of a in a 0.835 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.835 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.835 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.835 * [taylor]: Taking taylor expansion of a in a 0.835 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.835 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.835 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.835 * [taylor]: Taking taylor expansion of a in a 0.835 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.844 * * * [progress]: simplifying candidates 0.851 * [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 (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (log1p (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) 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 a))) (/ (cbrt 1) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (cbrt 1) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (cbrt 1) (/ -1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (cbrt 1) (/ -1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (cbrt 1) (/ -1 1)) (/ (cbrt 1) (/ (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 a))) (/ (cbrt 1) (/ (- 1) (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (cbrt 1) (/ (- 1) 1)) (/ (cbrt 1) (/ (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 a))) (/ (cbrt 1) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (cbrt 1) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (cbrt 1) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (cbrt 1) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ 1 (/ (- (acos 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))) 0.859 * * [simplify]: iteration 0 : 527 enodes (cost 1309 ) 0.871 * * [simplify]: iteration 1 : 2721 enodes (cost 1241 ) 0.912 * * [simplify]: iteration 2 : 5002 enodes (cost 1025 ) 0.918 * [simplify]: Simplified to: (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (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 (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (* -1 (/ (acos a) a)) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (- 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (sqrt (acos a)) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (* -1 (/ (acos a) a)) (/ 1 a) (/ -1 (/ (acos a) a)) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ -1 (/ (acos a) a)) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ -1 (/ (acos a) a)) (expm1 (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (log1p (/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))) (log (/ (cbrt 1) (/ (- (acos a)) a))) (log (/ (cbrt 1) (/ (- (acos a)) a))) (log (/ (cbrt 1) (/ (- (acos a)) a))) (log (/ (cbrt 1) (/ (- (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)) (* (/ (* (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)) (* (/ (* (cbrt a) (cbrt a)) -1) 1) (/ 1 (/ (acos a) (cbrt a))) (* (/ (sqrt a) -1) 1) (* (/ (sqrt a) (acos a)) 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))) (/ 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)) 0.919 * * * [progress]: adding candidates to table 1.261 * * [progress]: iteration 4 / 4 1.261 * * * [progress]: picking best candidate 1.275 * * * * [pick]: Picked # 1.275 * * * [progress]: localizing error 1.282 * * * [progress]: generating rewritten candidates 1.282 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.293 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 1.300 * * * [progress]: generating series expansions 1.300 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.301 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.301 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.301 * [taylor]: Taking taylor expansion of -1 in a 1.301 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.301 * [taylor]: Taking taylor expansion of a in a 1.301 * [taylor]: Taking taylor expansion of (acos a) in a 1.301 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.301 * [taylor]: Taking taylor expansion of -1 in a 1.301 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.301 * [taylor]: Taking taylor expansion of a in a 1.301 * [taylor]: Taking taylor expansion of (acos a) in a 1.308 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.308 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.308 * [taylor]: Taking taylor expansion of -1 in a 1.308 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.308 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.308 * [taylor]: Taking taylor expansion of a in a 1.309 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.309 * [taylor]: Taking taylor expansion of -1 in a 1.309 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.309 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.309 * [taylor]: Taking taylor expansion of a in a 1.315 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.315 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.315 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.315 * [taylor]: Taking taylor expansion of a in a 1.315 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.316 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.316 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.316 * [taylor]: Taking taylor expansion of a in a 1.316 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.329 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 1.330 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 1.330 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 1.330 * [taylor]: Taking taylor expansion of (acos a) in a 1.330 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 1.330 * [taylor]: Taking taylor expansion of (acos a) in a 1.331 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 1.331 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 1.331 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.331 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 1.331 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.333 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 1.333 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 1.333 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.333 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 1.333 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.335 * * * [progress]: simplifying candidates 1.336 * [simplify]: Simplifying using # : (expm1 (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (log1p (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (- (+ (log -1) (- (log (acos a)))) (- (log a))) (- (+ (log -1) (- (log (acos a)))) (- 0 (log a))) (- (+ (log -1) (- (log (acos a)))) (- (log 1) (log a))) (- (+ (log -1) (- (log (acos a)))) (log (/ 1 a))) (- (+ (log -1) (- 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)) (expm1 (/ 1 (acos a))) (log1p (/ 1 (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)) 1.343 * * [simplify]: iteration 0 : 479 enodes (cost 634 ) 1.353 * * [simplify]: iteration 1 : 2434 enodes (cost 491 ) 1.388 * * [simplify]: iteration 2 : 5001 enodes (cost 446 ) 1.392 * [simplify]: Simplified to: (expm1 (/ (* -1 (/ 1 (acos a))) (/ 1 a))) (log1p (/ (* -1 (/ 1 (acos a))) (/ 1 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)) (+ (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) (expm1 (/ 1 (acos a))) (log1p (/ 1 (acos 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)) 1.392 * * * [progress]: adding candidates to table 1.519 * [progress]: [Phase 3 of 3] Extracting. 1.520 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.521 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 1.521 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # #) 1.556 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 1.583 * * * [regime]: Found split indices: #